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1140797056 = 27723197281
BaseRepresentation
bin100001111111111…
…0010111010000000
32221111121111100211
41003333302322000
54314021001211
6305111123504
740161420640
oct10377627200
92844544324
101140797056
11535a4a793
1227a073594
13152466259
14ab71c520
156a243e21
hex43ff2e80

1140797056 has 128 divisors (see below), whose sum is σ = 2733730560. Its totient is φ = 463626240.

The previous prime is 1140797039. The next prime is 1140797057. The reversal of 1140797056 is 6507970411.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1140797057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4059636 + ... + 4059916.

It is an arithmetic number, because the mean of its divisors is an integer number (21357270).

Almost surely, 21140797056 is an apocalyptic number.

1140797056 is a gapful number since it is divisible by the number (16) 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 1140797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366865280).

1140797056 is an abundant number, since it is smaller than the sum of its proper divisors (1592933504).

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

1140797056 is a wasteful number, since it uses less digits than its factorization.

1140797056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 1140797056 is about 33775.6873505189. The cubic root of 1140797056 is about 1044.8873320072.

The spelling of 1140797056 in words is "one billion, one hundred forty million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 197 224 281 322 368 394 448 562 644 736 788 896 1124 1288 1379 1472 1576 1967 2248 2576 2758 2944 3152 3934 4496 4531 5152 5516 6304 6463 7868 8992 9062 10304 11032 12608 12926 15736 17984 18124 20608 22064 25216 25852 31472 31717 35968 36248 44128 45241 51704 55357 62944 63434 72496 88256 90482 103408 110714 125888 126868 144992 176512 180964 206816 221428 251776 253736 289984 361928 387499 413632 442856 507472 579968 723856 774998 827264 885712 1014944 1273211 1447712 1549996 1771424 2029888 2546422 2895424 3099992 3542848 4059776 5092844 5790848 6199984 7085696 8912477 10185688 12399968 17824954 20371376 24799936 35649908 40742752 49599872 71299816 81485504 142599632 162971008 285199264 570398528 1140797056