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125849970 = 23353831217
BaseRepresentation
bin1111000000001…
…01000101110010
322202210211201000
413200011011302
5224204144340
620253222430
73055464351
oct740050562
9282724630
10125849970
1165047a44
1236191a16
13200c484c
14129dd998
15b0add30
hex7805172

125849970 has 64 divisors (see below), whose sum is σ = 336752640. Its totient is φ = 33444864.

The previous prime is 125849953. The next prime is 125849989. The reversal of 125849970 is 79948521.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102802 + ... + 104018.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2125849970 is an apocalyptic number.

125849970 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 125849970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320).

125849970 is an abundant number, since it is smaller than the sum of its proper divisors (210902670).

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

125849970 is a wasteful number, since it uses less digits than its factorization.

125849970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 125849970 is about 11218.2873024361. The cubic root of 125849970 is about 501.1307342857.

The spelling of 125849970 in words is "one hundred twenty-five million, eight hundred forty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 383 766 1149 1217 1915 2298 2434 3447 3651 3830 5745 6085 6894 7302 10341 10953 11490 12170 17235 18255 20682 21906 32859 34470 36510 51705 54765 65718 103410 109530 164295 328590 466111 932222 1398333 2330555 2796666 4194999 4661110 6991665 8389998 12584997 13983330 20974995 25169994 41949990 62924985 125849970