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11403040 = 2551121931
BaseRepresentation
bin101011011111…
…111100100000
3210110100000211
4223133330200
510404344130
61044223504
7165632005
oct53377440
923410024
1011403040
116489300
12399ab94
13249337c
14172b8ac
151003a2a
hexadff20

11403040 has 144 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3801600.

The previous prime is 11403017. The next prime is 11403047. The reversal of 11403040 is 4030411.

It is a self number, because there is not a number n which added to its sum of digits gives 11403040.

It is not an unprimeable number, because it can be changed into a prime (11403047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367825 + ... + 367855.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 211403040 is an apocalyptic number.

11403040 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 11403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

11403040 is an abundant number, since it is smaller than the sum of its proper divisors (20772320).

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

11403040 is a wasteful number, since it uses less digits than its factorization.

11403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11403040 is about 3376.8387583656. The cubic root of 11403040 is about 225.0817151752.

Adding to 11403040 its reverse (4030411), we get a palindrome (15433451).

It can be divided in two parts, 1 and 1403040, that added together give a palindrome (1403041).

The spelling of 11403040 in words is "eleven million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 31 32 38 40 44 55 62 76 80 88 95 110 121 124 152 155 160 176 190 209 220 242 248 304 310 341 352 380 418 440 484 496 589 605 608 620 682 760 836 880 968 992 1045 1178 1210 1240 1364 1520 1672 1705 1760 1936 2090 2299 2356 2420 2480 2728 2945 3040 3344 3410 3751 3872 4180 4598 4712 4840 4960 5456 5890 6479 6688 6820 7502 8360 9196 9424 9680 10912 11495 11780 12958 13640 15004 16720 18392 18755 18848 19360 22990 23560 25916 27280 30008 32395 33440 36784 37510 45980 47120 51832 54560 60016 64790 71269 73568 75020 91960 94240 103664 120032 129580 142538 150040 183920 207328 259160 285076 300080 356345 367840 518320 570152 600160 712690 1036640 1140304 1425380 2280608 2850760 5701520 11403040