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2156454720 = 26325733759
BaseRepresentation
bin1000000010001000…
…1110001101000000
312120021202020202100
42000202032031000
513404023022340
6553552150400
7104303364000
oct20042161500
95507666670
102156454720
11a07298392
12502238400
132849c6214
14166584000
15c94b9830
hex8088e340

2156454720 has 672 divisors, whose sum is σ = 9034272000. Its totient is φ = 471453696.

The previous prime is 2156454719. The next prime is 2156454731. The reversal of 2156454720 is 274546512.

It is a happy number.

2156454720 is a `hidden beast` number, since 2 + 1 + 5 + 645 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 36550051 + ... + 36550109.

Almost surely, 22156454720 is an apocalyptic number.

2156454720 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 2156454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517136000).

2156454720 is an abundant number, since it is smaller than the sum of its proper divisors (6877817280).

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

2156454720 is a wasteful number, since it uses less digits than its factorization.

2156454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2156454720 is about 46437.6433510573. The cubic root of 2156454720 is about 1291.9531976388.

The spelling of 2156454720 in words is "two billion, one hundred fifty-six million, four hundred fifty-four thousand, seven hundred twenty".