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1140896832 = 26341144931
BaseRepresentation
bin100010000000000…
…1011010001000000
32221111210120020020
41010000023101000
54314032144312
6305113213440
740162314555
oct10400132100
92844716206
101140896832
11536008749
1227a101280
1315249c7aa
14ab746a2c
156a26378c
hex4400b440

1140896832 has 56 divisors (see below), whose sum is σ = 3092269152. Its totient is φ = 371020800.

The previous prime is 1140896777. The next prime is 1140896839. The reversal of 1140896832 is 2386980411.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1140896839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64594 + ... + 80337.

It is an arithmetic number, because the mean of its divisors is an integer number (55219092).

Almost surely, 21140896832 is an apocalyptic number.

1140896832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1140896832 is an abundant number, since it is smaller than the sum of its proper divisors (1951372320).

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

1140896832 is a wasteful number, since it uses less digits than its factorization.

1140896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144987 (or 144977 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1140896832 is about 33777.1643570031. The cubic root of 1140896832 is about 1044.9177936447.

The spelling of 1140896832 in words is "one billion, one hundred forty million, eight hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 144931 289862 434793 579724 869586 1159448 1739172 2318896 3478344 4637792 5942171 6956688 9275584 11884342 13913376 17826513 23768684 27826752 35653026 47537368 71306052 95074736 142612104 190149472 285224208 380298944 570448416 1140896832