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125129970 = 23257832393
BaseRepresentation
bin1110111010101…
…01010011110010
322201110021001100
413131111103302
5224013124340
620225545230
73046405260
oct735252362
9281407040
10125129970
11646a5aa9
1235aa5216
131cc01c04
1412893430
15aeba830
hex77554f2

125129970 has 96 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 28244736.

The previous prime is 125129941. The next prime is 125129987. The reversal of 125129970 is 79921521.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51094 + ... + 53486.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2125129970 is an apocalyptic number.

125129970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125129970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

125129970 is an abundant number, since it is smaller than the sum of its proper divisors (251321742).

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

125129970 is a wasteful number, since it uses less digits than its factorization.

125129970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 125129970 is about 11186.1508125002. The cubic root of 125129970 is about 500.1732333068.

The spelling of 125129970 in words is "one hundred twenty-five million, one hundred twenty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2393 2490 2905 3486 3735 4786 5229 5810 7179 7470 8715 10458 11965 14358 16751 17430 21537 23930 26145 33502 35895 43074 50253 52290 71790 83755 100506 107685 150759 167510 198619 215370 251265 301518 397238 502530 595857 753795 993095 1191714 1390333 1507590 1787571 1986190 2780666 2979285 3575142 4170999 5958570 6951665 8341998 8937855 12512997 13903330 17875710 20854995 25025994 41709990 62564985 125129970