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272051136 = 26367317
BaseRepresentation
bin10000001101110…
…010101111000000
3200221220122000000
4100031302233000
51024121114021
642555000000
76512253000
oct2015625700
9627818000
10272051136
1112a625055
1277139000
1344493606
14281ba000
1518d3cb26
hex10372bc0

272051136 has 392 divisors, whose sum is σ = 999439200. Its totient is φ = 73156608.

The previous prime is 272051089. The next prime is 272051137. The reversal of 272051136 is 631150272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (392).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272051137) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16003000 + ... + 16003016.

Almost surely, 2272051136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499719600).

272051136 is an abundant number, since it is smaller than the sum of its proper divisors (727388064).

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

272051136 is an frugal number, since it uses more digits than its factorization.

272051136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 272051136 is about 16493.9727173292. The cubic root of 272051136 is about 647.9629608459.

The spelling of 272051136 in words is "two hundred seventy-two million, fifty-one thousand, one hundred thirty-six".