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125023920 = 2435774419
BaseRepresentation
bin1110111001110…
…11011010110000
322201020212120120
413130323122300
5224001231140
620223410240
73045454140
oct734733260
9281225516
10125023920
116463335a
1235a53980
131cb95868
1412866920
15ae991d0
hex773b6b0

125023920 has 80 divisors (see below), whose sum is σ = 442947840. Its totient is φ = 28576512.

The previous prime is 125023897. The next prime is 125024059. The reversal of 125023920 is 29320521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 35530 + ... + 38889.

It is an arithmetic number, because the mean of its divisors is an integer number (5536848).

Almost surely, 2125023920 is an apocalyptic number.

125023920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125023920 is an abundant number, since it is smaller than the sum of its proper divisors (317923920).

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

125023920 is a wasteful number, since it uses less digits than its factorization.

125023920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74442 (or 74436 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 125023920 is about 11181.4095712482. The cubic root of 125023920 is about 500.0318912992.

The spelling of 125023920 in words is "one hundred twenty-five million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 74419 148838 223257 297676 372095 446514 520933 595352 744190 893028 1041866 1116285 1190704 1488380 1562799 1786056 2083732 2232570 2604665 2976760 3125598 3572112 4167464 4465140 5209330 5953520 6251196 7813995 8334928 8930280 10418660 12502392 15627990 17860560 20837320 25004784 31255980 41674640 62511960 125023920