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12513088 = 267173153
BaseRepresentation
bin101111101110…
…111101000000
3212112201201201
4233232331000
511200404323
61124110544
7211234210
oct57567500
925481651
1012513088
1170772a5
124235454
1327916c3
14193a240
1511728ad
hexbeef40

12513088 has 112 divisors (see below), whose sum is σ = 31601664. Its totient is φ = 4792320.

The previous prime is 12513049. The next prime is 12513101. The reversal of 12513088 is 88031521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236070 + ... + 236122.

Almost surely, 212513088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12513088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800832).

12513088 is an abundant number, since it is smaller than the sum of its proper divisors (19088576).

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

12513088 is a wasteful number, since it uses less digits than its factorization.

12513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 12513088 is about 3537.3843443991. The cubic root of 12513088 is about 232.1604122469.

The spelling of 12513088 in words is "twelve million, five hundred thirteen thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 53 56 62 64 68 106 112 119 124 136 212 217 224 238 248 272 371 424 434 448 476 496 527 544 742 848 868 901 952 992 1054 1088 1484 1643 1696 1736 1802 1904 1984 2108 2968 3286 3392 3472 3604 3689 3808 4216 5936 6307 6572 6944 7208 7378 7616 8432 11501 11872 12614 13144 13888 14416 14756 16864 23002 23744 25228 26288 27931 28832 29512 33728 46004 50456 52576 55862 57664 59024 92008 100912 105152 111724 118048 184016 195517 201824 223448 236096 368032 391034 403648 446896 736064 782068 893792 1564136 1787584 3128272 6256544 12513088