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15072672 = 253157007
BaseRepresentation
bin111001011111…
…110110100000
31001100202211010
4321133312200
512324311142
61255020520
7242054436
oct71376640
931322733
1015072672
11856535a
12506a740
133179754
142004d56
1514cae9c
hexe5fda0

15072672 has 24 divisors (see below), whose sum is σ = 39566016. Its totient is φ = 5024192.

The previous prime is 15072649. The next prime is 15072677. The reversal of 15072672 is 27627051.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (15072677) 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, 78408 + ... + 78599.

It is an arithmetic number, because the mean of its divisors is an integer number (1648584).

Almost surely, 215072672 is an apocalyptic number.

15072672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15072672 is an abundant number, since it is smaller than the sum of its proper divisors (24493344).

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

15072672 is a wasteful number, since it uses less digits than its factorization.

15072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157020 (or 157012 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 15072672 is about 3882.3539251336. The cubic root of 15072672 is about 247.0188427768.

The spelling of 15072672 in words is "fifteen million, seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157007 314014 471021 628028 942042 1256056 1884084 2512112 3768168 5024224 7536336 15072672