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15103968 = 2531114303
BaseRepresentation
bin111001100111…
…011111100000
31001102100202020
4321213133200
512331311333
61255421440
7242244615
oct71473740
931370666
1015103968
118586920
125084880
13318aa79
14201250c
1514d53b3
hexe677e0

15103968 has 48 divisors (see below), whose sum is σ = 43255296. Its totient is φ = 4576640.

The previous prime is 15103951. The next prime is 15103969. The reversal of 15103968 is 86930151.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15103969) 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, 6096 + ... + 8207.

It is an arithmetic number, because the mean of its divisors is an integer number (901152).

Almost surely, 215103968 is an apocalyptic number.

It is an amenable number.

15103968 is an abundant number, since it is smaller than the sum of its proper divisors (28151328).

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

15103968 is a wasteful number, since it uses less digits than its factorization.

15103968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14327 (or 14319 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 15103968 is about 3886.3823795401. The cubic root of 15103968 is about 247.1896896654.

The spelling of 15103968 in words is "fifteen million, one hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 14303 28606 42909 57212 85818 114424 157333 171636 228848 314666 343272 457696 471999 629332 686544 943998 1258664 1373088 1887996 2517328 3775992 5034656 7551984 15103968