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125379480 = 233519127433
BaseRepresentation
bin1110111100100…
…10001110011000
322201220221022110
413132102032120
5224044120410
620235152320
73051464562
oct736221630
9281827273
10125379480
1164856506
1235ba56a0
131cc8b655
141291a332
15b019720
hex7792398

125379480 has 128 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 31352832.

The previous prime is 125379473. The next prime is 125379491. The reversal of 125379480 is 84973521.

It is a congruent number.

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, 289344 + ... + 289776.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2125379480 is an apocalyptic number.

125379480 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 125379480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

125379480 is an abundant number, since it is smaller than the sum of its proper divisors (274594920).

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

125379480 is a wasteful number, since it uses less digits than its factorization.

125379480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 125379480 is about 11197.2978883300. The cubic root of 125379480 is about 500.5054621771.

The spelling of 125379480 in words is "one hundred twenty-five million, three hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 127 152 190 228 254 285 380 381 433 456 508 570 635 760 762 866 1016 1140 1270 1299 1524 1732 1905 2165 2280 2413 2540 2598 3048 3464 3810 4330 4826 5080 5196 6495 7239 7620 8227 8660 9652 10392 12065 12990 14478 15240 16454 17320 19304 24130 24681 25980 28956 32908 36195 41135 48260 49362 51960 54991 57912 65816 72390 82270 96520 98724 109982 123405 144780 164540 164973 197448 219964 246810 274955 289560 329080 329946 439928 493620 549910 659892 824865 987240 1044829 1099820 1319784 1649730 2089658 2199640 3134487 3299460 4179316 5224145 6268974 6598920 8358632 10448290 12537948 15672435 20896580 25075896 31344870 41793160 62689740 125379480