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15130164 = 2237281641
BaseRepresentation
bin111001101101…
…111000110100
31001110200200110
4321231320310
512333131124
61300143020
7242414160
oct71557064
931420613
1015130164
1185a4575
125097a70
13319997a
14201bca0
1514dd029
hexe6de34

15130164 has 48 divisors (see below), whose sum is σ = 40553856. Its totient is φ = 4300800.

The previous prime is 15130163. The next prime is 15130183. The reversal of 15130164 is 46103151.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 15130164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15130163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23284 + ... + 23924.

It is an arithmetic number, because the mean of its divisors is an integer number (844872).

Almost surely, 215130164 is an apocalyptic number.

15130164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

15130164 is an abundant number, since it is smaller than the sum of its proper divisors (25423692).

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

15130164 is a wasteful number, since it uses less digits than its factorization.

15130164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 15130164 is about 3889.7511488526. The cubic root of 15130164 is about 247.3325139688.

The spelling of 15130164 in words is "fifteen million, one hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 281 562 641 843 1124 1282 1686 1923 1967 2564 3372 3846 3934 4487 5901 7692 7868 8974 11802 13461 17948 23604 26922 53844 180121 360242 540363 720484 1080726 1260847 2161452 2521694 3782541 5043388 7565082 15130164