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1140075648 = 2734109961
BaseRepresentation
bin100001111110100…
…0010110010000000
32221110020211210000
41003331002302000
54313324410043
6305043440000
740152324465
oct10375026200
92843224700
101140075648
115355a7788
12279986000
13152272a9a
14ab5b166c
156a1502d3
hex43f42c80

1140075648 has 80 divisors (see below), whose sum is σ = 3392877510. Its totient is φ = 380021760.

The previous prime is 1140075631. The next prime is 1140075659. The reversal of 1140075648 is 8465700411.

It is a happy number.

1140075648 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 7 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 638673984 + 501401664 = 25272^2 + 22392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 44613 + ... + 65348.

Almost surely, 21140075648 is an apocalyptic number.

1140075648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1140075648 is an abundant number, since it is smaller than the sum of its proper divisors (2252801862).

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

1140075648 is an equidigital number, since it uses as much as digits as its factorization.

1140075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109987 (or 109966 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1140075648 is about 33765.0062638821. The cubic root of 1140075648 is about 1044.6670331018.

The spelling of 1140075648 in words is "one billion, one hundred forty million, seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 109961 219922 329883 439844 659766 879688 989649 1319532 1759376 1979298 2639064 2968947 3518752 3958596 5278128 5937894 7037504 7917192 8906841 10556256 11875788 14075008 15834384 17813682 21112512 23751576 31668768 35627364 42225024 47503152 63337536 71254728 95006304 126675072 142509456 190012608 285018912 380025216 570037824 1140075648