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12592125 = 335371341
BaseRepresentation
bin110000000010…
…001111111101
3212200202011000
4300002033331
511210422000
61125520513
7212013510
oct60021775
925622130
1012592125
117120717
124273139
1327bb680
14195ad77
15118b000
hexc023fd

12592125 has 128 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 5184000.

The previous prime is 12592103. The next prime is 12592157. The reversal of 12592125 is 52129521.

12592125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12592125 - 29 = 12591613 is a prime.

It is a super-2 number, since 2×125921252 = 317123224031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 307105 + ... + 307145.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 212592125 is an apocalyptic number.

12592125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12592125 is an abundant number, since it is smaller than the sum of its proper divisors (16760835).

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

12592125 is a wasteful number, since it uses less digits than its factorization.

12592125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 12592125 is about 3548.5384315236. The cubic root of 12592125 is about 232.6481885675.

The spelling of 12592125 in words is "twelve million, five hundred ninety-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 41 45 63 65 75 91 105 117 123 125 135 175 189 195 205 225 273 287 315 325 351 369 375 455 525 533 585 615 675 819 861 875 945 975 1025 1107 1125 1365 1435 1575 1599 1625 1755 1845 2275 2457 2583 2625 2665 2925 3075 3375 3731 4095 4305 4725 4797 4875 5125 5535 6825 7175 7749 7875 7995 8775 9225 11193 11375 12285 12915 13325 14391 14625 15375 18655 20475 21525 23625 23985 27675 33579 34125 35875 38745 39975 43875 46125 55965 61425 64575 66625 71955 93275 100737 102375 107625 119925 138375 167895 193725 199875 279825 307125 322875 359775 466375 503685 599625 839475 968625 1399125 1798875 2518425 4197375 12592125