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125104632 = 2331731061
BaseRepresentation
bin1110111010011…
…11000111111000
322201101222021220
413131033013320
5224011322012
620225232040
73046241352
oct735170770
9281358256
10125104632
1164688a64
1235a92620
131cbc3513
14128880d2
15aeb308c
hex774f1f8

125104632 has 64 divisors (see below), whose sum is σ = 332618400. Its totient is φ = 39211520.

The previous prime is 125104631. The next prime is 125104657. The reversal of 125104632 is 236401521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125104631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117382 + ... + 118442.

Almost surely, 2125104632 is an apocalyptic number.

125104632 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 125104632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166309200).

125104632 is an abundant number, since it is smaller than the sum of its proper divisors (207513768).

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

125104632 is a wasteful number, since it uses less digits than its factorization.

125104632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125104632 is about 11185.0181939950. The cubic root of 125104632 is about 500.1394704257.

The spelling of 125104632 in words is "one hundred twenty-five million, one hundred four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1061 1156 1734 2122 2312 3183 3468 4244 4913 6366 6936 8488 9826 12732 14739 18037 19652 25464 29478 36074 39304 54111 58956 72148 108222 117912 144296 216444 306629 432888 613258 919887 1226516 1839774 2453032 3679548 5212693 7359096 10425386 15638079 20850772 31276158 41701544 62552316 125104632