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15138912 = 253315087
BaseRepresentation
bin111001110000…
…000001100000
31001111010200110
4321300001200
512333421122
61300251320
7242451525
oct71600140
931433613
1015138912
1186000a8
1250a0b40
1331a0949
14202114c
1514e090c
hexe70060

15138912 has 48 divisors (see below), whose sum is σ = 41029632. Its totient is φ = 4882560.

The previous prime is 15138863. The next prime is 15138913. The reversal of 15138912 is 21983151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 15138912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15138913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 5519.

It is an arithmetic number, because the mean of its divisors is an integer number (854784).

Almost surely, 215138912 is an apocalyptic number.

15138912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20514816).

15138912 is an abundant number, since it is smaller than the sum of its proper divisors (25890720).

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

15138912 is a wasteful number, since it uses less digits than its factorization.

15138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5123 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 15138912 is about 3890.8754798888. The cubic root of 15138912 is about 247.3801725835.

The spelling of 15138912 in words is "fifteen million, one hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 5087 10174 15261 20348 30522 40696 61044 81392 122088 157697 162784 244176 315394 473091 488352 630788 946182 1261576 1892364 2523152 3784728 5046304 7569456 15138912