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1140634816 = 26371313677
BaseRepresentation
bin100001111111100…
…1011010011000000
32221111022020210221
41003333023103000
54314000303231
6305103432424
740160143636
oct10377132300
92844266727
101140634816
11535949902
12279bb5714
1315240a459
14ab6b9356
156a210d11
hex43fcb4c0

1140634816 has 56 divisors (see below), whose sum is σ = 2343003696. Its totient is φ = 550517760.

The previous prime is 1140634741. The next prime is 1140634819. The reversal of 1140634816 is 6184360411.

It is not an unprimeable number, because it can be changed into a prime (1140634819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308370 + ... + 312046.

Almost surely, 21140634816 is an apocalyptic number.

1140634816 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 1140634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171501848).

1140634816 is an abundant number, since it is smaller than the sum of its proper divisors (1202368880).

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

1140634816 is a wasteful number, since it uses less digits than its factorization.

1140634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1140634816 is about 33773.2855375369. The cubic root of 1140634816 is about 1044.8377963027.

The spelling of 1140634816 in words is "one billion, one hundred forty million, six hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 131 148 262 296 524 592 1048 1184 2096 2368 3677 4192 4847 7354 8384 9694 14708 19388 29416 38776 58832 77552 117664 136049 155104 235328 272098 310208 481687 544196 963374 1088392 1926748 2176784 3853496 4353568 7706992 8707136 15413984 17822419 30827968 35644838 71289676 142579352 285158704 570317408 1140634816