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125068788 = 223213261337
BaseRepresentation
bin1110111010001…
…10010111110100
322201100011010100
413131012113310
5224004200123
620224354100
73046032015
oct735062764
9281304110
10125068788
1164664039
1235a75930
131cbb0100
141287900c
15aea7643
hex77465f4

125068788 has 108 divisors (see below), whose sum is σ = 348980268. Its totient is φ = 37739520.

The previous prime is 125068777. The next prime is 125068831. The reversal of 125068788 is 887860521.

It can be written as a sum of positive squares in 6 ways, for example, as 65901924 + 59166864 = 8118^2 + 7692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 370956 + ... + 371292.

Almost surely, 2125068788 is an apocalyptic number.

125068788 is a gapful number since it is divisible by the number (18) 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 125068788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174490134).

125068788 is an abundant number, since it is smaller than the sum of its proper divisors (223911480).

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

125068788 is a wasteful number, since it uses less digits than its factorization.

125068788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 125068788 is about 11183.4157572720. The cubic root of 125068788 is about 500.0917005143.

The spelling of 125068788 in words is "one hundred twenty-five million, sixty-eight thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 169 183 234 244 337 338 366 468 507 549 674 676 732 793 1011 1014 1098 1348 1521 1586 2022 2028 2196 2379 3033 3042 3172 4044 4381 4758 6066 6084 7137 8762 9516 10309 12132 13143 14274 17524 20557 20618 26286 28548 30927 39429 41114 41236 52572 56953 61671 61854 78858 82228 92781 113906 123342 123708 157716 170859 185013 185562 227812 246684 267241 341718 370026 371124 512577 534482 683436 740052 801723 1025154 1068964 1603446 2050308 2405169 3206892 3474133 4810338 6948266 9620676 10422399 13896532 20844798 31267197 41689596 62534394 125068788