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125820972 = 22333373457
BaseRepresentation
bin1110111111111…
…10000000101100
322202202100221000
413133332000230
5224202232342
620252440300
73055313664
oct737760054
9282670830
10125820972
1165028182
1236179090
13200b45a4
14129d31a4
15b0a544c
hex77fe02c

125820972 has 48 divisors (see below), whose sum is σ = 327265120. Its totient is φ = 41803776.

The previous prime is 125820953. The next prime is 125821001. The reversal of 125820972 is 279028521.

125820972 is a `hidden beast` number, since 1 + 2 + 582 + 0 + 9 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 34668 + ... + 38124.

Almost surely, 2125820972 is an apocalyptic number.

125820972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125820972 is an abundant number, since it is smaller than the sum of its proper divisors (201444148).

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

125820972 is a wasteful number, since it uses less digits than its factorization.

125820972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125820972 is about 11216.9947847006. The cubic root of 125820972 is about 501.0922416125.

The spelling of 125820972 in words is "one hundred twenty-five million, eight hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 337 674 1011 1348 2022 3033 3457 4044 6066 6914 9099 10371 12132 13828 18198 20742 31113 36396 41484 62226 93339 124452 186678 373356 1165009 2330018 3495027 4660036 6990054 10485081 13980108 20970162 31455243 41940324 62910486 125820972