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2160015456 = 253191184219
BaseRepresentation
bin1000000010111111…
…0011100001100000
312120112110011011110
42000233303201200
513410430443311
6554200343320
7104345554104
oct20057634140
95515404143
102160015456
11a092aa645
12503474b40
13285671b71
14166c2d904
15c996e8a6
hex80bf3860

2160015456 has 48 divisors (see below), whose sum is σ = 5968468800. Its totient is φ = 682109568.

The previous prime is 2160015449. The next prime is 2160015457. The reversal of 2160015456 is 6545100612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160015457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590286 + ... + 593933.

It is an arithmetic number, because the mean of its divisors is an integer number (124343100).

Almost surely, 22160015456 is an apocalyptic number.

It is an amenable number.

2160015456 is an abundant number, since it is smaller than the sum of its proper divisors (3808453344).

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

2160015456 is a wasteful number, since it uses less digits than its factorization.

2160015456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184251 (or 1184243 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2160015456 is about 46475.9664342765. The cubic root of 2160015456 is about 1292.6638972472.

The spelling of 2160015456 in words is "two billion, one hundred sixty million, fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 1184219 2368438 3552657 4736876 7105314 9473752 14210628 18947504 22500161 28421256 37895008 45000322 56842512 67500483 90000644 113685024 135000966 180001288 270001932 360002576 540003864 720005152 1080007728 2160015456