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125021988 = 223371312721
BaseRepresentation
bin1110111001110…
…10111100100100
322201020202221000
413130322330210
5224001200423
620223353300
73045445410
oct734727444
9281222830
10125021988
1164631963
1235a52830
131cb94a10
1412865d40
15ae98843
hex773af24

125021988 has 96 divisors (see below), whose sum is σ = 398961920. Its totient is φ = 32970240.

The previous prime is 125021909. The next prime is 125021999. The reversal of 125021988 is 889120521.

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 31 ways as a sum of consecutive naturals, for example, 3468 + ... + 16188.

Almost surely, 2125021988 is an apocalyptic number.

125021988 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 125021988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199480960).

125021988 is an abundant number, since it is smaller than the sum of its proper divisors (273939932).

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

125021988 is a wasteful number, since it uses less digits than its factorization.

125021988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12754 (or 12746 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 125021988 is about 11181.3231775135. The cubic root of 125021988 is about 500.0293156145.

The spelling of 125021988 in words is "one hundred twenty-five million, twenty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 12721 25442 38163 50884 76326 89047 114489 152652 165373 178094 228978 267141 330746 343467 356188 457956 496119 534282 661492 686934 801423 992238 1068564 1157611 1373868 1488357 1602846 1984476 2315222 2404269 2976714 3205692 3472833 4465071 4630444 4808538 5953428 6945666 8930142 9617076 10418499 13891332 17860284 20836998 31255497 41673996 62510994 125021988