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120072896 = 2611316603
BaseRepresentation
bin1110010100000…
…10101011000000
322100221100001022
413022002223000
5221214313041
615525325012
72655413516
oct712025300
9270840038
10120072896
11618615a9
1234266768
131bb51168
1411d384b6
15a81c24b
hex7282ac0

120072896 has 28 divisors (see below), whose sum is σ = 240392712. Its totient is φ = 59501568.

The previous prime is 120072893. The next prime is 120072907. The reversal of 120072896 is 698270021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120072893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1070 + ... + 15533.

It is an arithmetic number, because the mean of its divisors is an integer number (8585454).

Almost surely, 2120072896 is an apocalyptic number.

120072896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120072896 is an abundant number, since it is smaller than the sum of its proper divisors (120319816).

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

120072896 is a wasteful number, since it uses less digits than its factorization.

120072896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16718 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 120072896 is about 10957.7778769238. Note that the first 3 decimals coincide. The cubic root of 120072896 is about 493.3422707577.

The spelling of 120072896 in words is "one hundred twenty million, seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 7232 16603 33206 66412 132824 265648 531296 1062592 1876139 3752278 7504556 15009112 30018224 60036448 120072896