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120972636 = 22332634259
BaseRepresentation
bin1110011010111…
…10010101011100
322102122001021000
413031132111130
5221432111021
620000510300
72666151621
oct715362534
9272561230
10120972636
1162316594
123461b390
131c0a7855
14120d0348
15a948b26
hex735e55c

120972636 has 48 divisors (see below), whose sum is σ = 314899200. Its totient is φ = 40161456.

The previous prime is 120972619. The next prime is 120972671. The reversal of 120972636 is 636279021.

120972636 is a `hidden beast` number, since 12 + 0 + 9 + 7 + 2 + 636 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120972636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26275 + ... + 30533.

It is an arithmetic number, because the mean of its divisors is an integer number (6560400).

Almost surely, 2120972636 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 120972636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157449600).

120972636 is an abundant number, since it is smaller than the sum of its proper divisors (193926564).

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

120972636 is a wasteful number, since it uses less digits than its factorization.

120972636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 120972636 is about 10998.7561114882. The cubic root of 120972636 is about 494.5714564624.

The spelling of 120972636 in words is "one hundred twenty million, nine hundred seventy-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1578 2367 3156 4259 4734 7101 8518 9468 12777 14202 17036 25554 28404 38331 51108 76662 114993 153324 229986 459972 1120117 2240234 3360351 4480468 6720702 10081053 13441404 20162106 30243159 40324212 60486318 120972636