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1115440040 = 23511131711471
BaseRepresentation
bin100001001111100…
…0100001110101000
32212201220020002002
41002133010032220
54241023040130
6302403430132
736433040531
oct10237041650
92781806062
101115440040
11522700680
12271685348
1314a1286c0
14a81db688
1567dd5b45
hex427c43a8

1115440040 has 128 divisors (see below), whose sum is σ = 3122219520. Its totient is φ = 352358400.

The previous prime is 1115440031. The next prime is 1115440043. The reversal of 1115440040 is 400445111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1115439994 and 1115440021.

It is not an unprimeable number, because it can be changed into a prime (1115440043) 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 31 ways as a sum of consecutive naturals, for example, 91505 + ... + 102975.

It is an arithmetic number, because the mean of its divisors is an integer number (24392340).

Almost surely, 21115440040 is an apocalyptic number.

1115440040 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 1115440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561109760).

1115440040 is an abundant number, since it is smaller than the sum of its proper divisors (2006779480).

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

1115440040 is a wasteful number, since it uses less digits than its factorization.

1115440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1115440040 is about 33398.2041433368. The cubic root of 1115440040 is about 1037.0875244273.

Adding to 1115440040 its reverse (400445111), we get a palindrome (1515885151).

The spelling of 1115440040 in words is "one billion, one hundred fifteen million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 130 136 143 170 187 220 221 260 286 340 374 440 442 520 572 680 715 748 884 935 1105 1144 1430 1496 1768 1870 2210 2431 2860 3740 4420 4862 5720 7480 8840 9724 11471 12155 19448 22942 24310 45884 48620 57355 91768 97240 114710 126181 149123 195007 229420 252362 298246 390014 458840 504724 596492 630905 745615 780028 975035 1009448 1192984 1261810 1491230 1560056 1640353 1950070 2145077 2523620 2535091 2982460 3280706 3900140 4290154 5047240 5070182 5964920 6561412 7800280 8201765 8580308 10140364 10725385 12675455 13122824 16403530 17160616 20280728 21450770 25350910 27886001 32807060 42901540 50701820 55772002 65614120 85803080 101403640 111544004 139430005 223088008 278860010 557720020 1115440040