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125052660 = 22385953
BaseRepresentation
bin1110111010000…
…10011011110100
322201022100000000
413131002123310
5224003141120
620224151300
73045634005
oct735023364
9281270000
10125052660
1164652a07
1235a68530
131cba5975
14128731ac
15aea2990
hex77426f4

125052660 has 108 divisors (see below), whose sum is σ = 394309188. Its totient is φ = 33312384.

The previous prime is 125052659. The next prime is 125052671. The reversal of 125052660 is 66250521.

It can be written as a sum of positive squares in 2 ways, for example, as 48525156 + 76527504 = 6966^2 + 8748^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 130744 + ... + 131696.

It is an arithmetic number, because the mean of its divisors is an integer number (3651011).

Almost surely, 2125052660 is an apocalyptic number.

125052660 is a gapful number since it is divisible by the number (10) 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 125052660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197154594).

125052660 is an abundant number, since it is smaller than the sum of its proper divisors (269256528).

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

125052660 is an frugal number, since it uses more digits than its factorization.

125052660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125052660 is about 11182.6946663137. The cubic root of 125052660 is about 500.0702034758.

The spelling of 125052660 in words is "one hundred twenty-five million, fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 953 972 1215 1458 1620 1906 2187 2430 2859 2916 3645 3812 4374 4765 4860 5718 6561 7290 8577 8748 9530 10935 11436 13122 14295 14580 17154 19060 21870 25731 26244 28590 32805 34308 42885 43740 51462 57180 65610 77193 85770 102924 128655 131220 154386 171540 231579 257310 308772 385965 463158 514620 694737 771930 926316 1157895 1389474 1543860 2084211 2315790 2778948 3473685 4168422 4631580 6252633 6947370 8336844 10421055 12505266 13894740 20842110 25010532 31263165 41684220 62526330 125052660