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2156520960 = 293251167127
BaseRepresentation
bin1000000010001001…
…1110011000000000
312120021212121121200
42000202132120000
513404032132320
6553553421200
7104304061056
oct20042363000
95507777550
102156520960
11a07333130
1250226a800
13284a1a409
141665a01d6
15c94ce290
hex8089e600

2156520960 has 480 divisors, whose sum is σ = 8334323712. Its totient is φ = 510935040.

The previous prime is 2156520953. The next prime is 2156521001. The reversal of 2156520960 is 690256512.

2156520960 is a `hidden beast` number, since 2 + 1 + 565 + 2 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16980417 + ... + 16980543.

Almost surely, 22156520960 is an apocalyptic number.

2156520960 is a gapful number since it is divisible by the number (20) 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 2156520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167161856).

2156520960 is an abundant number, since it is smaller than the sum of its proper divisors (6177802752).

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

2156520960 is a wasteful number, since it uses less digits than its factorization.

2156520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2156520960 is about 46438.3565600679. The cubic root of 2156520960 is about 1291.9664258481.

The spelling of 2156520960 in words is "two billion, one hundred fifty-six million, five hundred twenty thousand, nine hundred sixty".