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12532104 = 2333134463
BaseRepresentation
bin101111110011…
…100110001000
3212120200211000
4233303212020
511202011404
61124335000
7211343514
oct57634610
925520730
1012532104
11708a612
124244460
13279a260
141943144
151178339
hexbf3988

12532104 has 64 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3855168.

The previous prime is 12532103. The next prime is 12532123. The reversal of 12532104 is 40123521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12532103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 212532104 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 12532104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12532104 is an abundant number, since it is smaller than the sum of its proper divisors (24965496).

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

12532104 is a wasteful number, since it uses less digits than its factorization.

12532104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12532104 is about 3540.0711857249. The cubic root of 12532104 is about 232.2779565848.

Adding to 12532104 its reverse (40123521), we get a palindrome (52655625).

The spelling of 12532104 in words is "twelve million, five hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4463 8926 13389 17852 26778 35704 40167 53556 58019 80334 107112 116038 120501 160668 174057 232076 241002 321336 348114 464152 482004 522171 696228 964008 1044342 1392456 1566513 2088684 3133026 4177368 6266052 12532104