Search a number
-
+
11276402040 = 233454637517
BaseRepresentation
bin10101000000010000…
…00011110101111000
31002002212112120120000
422200020003311320
5141043224331130
65102540233000
7546303556461
oct124010036570
932085476500
1011276402040
114867264832
12222853b760
1310a9282457
1478d89dd68
1545ee8b260
hex2a0203d78

11276402040 has 160 divisors (see below), whose sum is σ = 37988153280. Its totient is φ = 3000146688.

The previous prime is 11276401991. The next prime is 11276402041. The reversal of 11276402040 is 4020467211.

11276402040 is a `hidden beast` number, since 1 + 12 + 7 + 640 + 2 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11276401995 and 11276402013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11276402041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1496362 + ... + 1503878.

It is an arithmetic number, because the mean of its divisors is an integer number (237425958).

Almost surely, 211276402040 is an apocalyptic number.

11276402040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11276402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994076640).

11276402040 is an abundant number, since it is smaller than the sum of its proper divisors (26711751240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11276402040 is a wasteful number, since it uses less digits than its factorization.

11276402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 11276402040 its reverse (4020467211), we get a palindrome (15296869251).

The spelling of 11276402040 in words is "eleven billion, two hundred seventy-six million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 463 540 648 810 926 1080 1389 1620 1852 2315 2778 3240 3704 4167 4630 5556 6945 7517 8334 9260 11112 12501 13890 15034 16668 18520 20835 22551 25002 27780 30068 33336 37503 37585 41670 45102 50004 55560 60136 62505 67653 75006 75170 83340 90204 100008 112755 125010 135306 150012 150340 166680 180408 187515 202959 225510 250020 270612 300024 300680 338265 375030 405918 451020 500040 541224 608877 676530 750060 811836 902040 1014795 1217754 1353060 1500120 1623672 2029590 2435508 2706120 3044385 3480371 4059180 4871016 6088770 6960742 8118360 10441113 12177540 13921484 17401855 20882226 24355080 27842968 31323339 34803710 41764452 52205565 62646678 69607420 83528904 93970017 104411130 125293356 139214840 156616695 187940034 208822260 250586712 281910051 313233390 375880068 417644520 469850085 563820102 626466780 751760136 939700170 1127640204 1252933560 1409550255 1879400340 2255280408 2819100510 3758800680 5638201020 11276402040