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1140876936 = 2332172932141
BaseRepresentation
bin100010000000000…
…0110011010001000
32221111202112221100
41010000012122020
54314031030221
6305112541400
740162202553
oct10400063210
92844675840
101140876936
11535aa4801
1227a0b1860
13152493714
14ab73d69a
156a25c926
hex44006688

1140876936 has 96 divisors (see below), whose sum is σ = 3384552600. Its totient is φ = 345569280.

The previous prime is 1140876917. The next prime is 1140876937. The reversal of 1140876936 is 6396780411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1128556836 + 12320100 = 33594^2 + 3510^2 .

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1140876891 and 1140876900.

It is not an unprimeable number, because it can be changed into a prime (1140876937) 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, 19426 + ... + 51566.

Almost surely, 21140876936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140876936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692276300).

1140876936 is an abundant number, since it is smaller than the sum of its proper divisors (2243675664).

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

1140876936 is a wasteful number, since it uses less digits than its factorization.

1140876936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32199 (or 32192 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1140876936 is about 33776.8698372126. The cubic root of 1140876936 is about 1044.9117195327.

The spelling of 1140876936 in words is "one billion, one hundred forty million, eight hundred seventy-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 261 306 348 408 493 522 612 696 986 1044 1224 1479 1972 2088 2958 3944 4437 5916 8874 11832 17748 32141 35496 64282 96423 128564 192846 257128 289269 385692 546397 578538 771384 932089 1092794 1157076 1639191 1864178 2185588 2314152 2796267 3278382 3728356 4371176 4917573 5592534 6556764 7456712 8388801 9835146 11185068 13113528 15845513 16777602 19670292 22370136 31691026 33555204 39340584 47536539 63382052 67110408 95073078 126764104 142609617 190146156 285219234 380292312 570438468 1140876936