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125420960 = 2557113991
BaseRepresentation
bin1110111100111…
…00010110100000
322202000001012202
413132130112200
5224101432320
620240112332
73052026530
oct736342640
9282001182
10125420960
1164884695
12360056a8
131cca44b2
141292b4c0
15b026b75
hex779c5a0

125420960 has 96 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 42577920.

The previous prime is 125420921. The next prime is 125420963. The reversal of 125420960 is 69024521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125420963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126065 + ... + 127055.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2125420960 is an apocalyptic number.

125420960 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 125420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

125420960 is an abundant number, since it is smaller than the sum of its proper divisors (216557152).

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

125420960 is a wasteful number, since it uses less digits than its factorization.

125420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 125420960 is about 11199.1499677431. The cubic root of 125420960 is about 500.5606511057.

The spelling of 125420960 in words is "one hundred twenty-five million, four hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 991 1120 1130 1582 1808 1982 2260 3164 3616 3955 3964 4520 4955 6328 6937 7910 7928 9040 9910 12656 13874 15820 15856 18080 19820 25312 27748 31640 31712 34685 39640 55496 63280 69370 79280 110992 111983 126560 138740 158560 221984 223966 277480 447932 554960 559915 783881 895864 1109920 1119830 1567762 1791728 2239660 3135524 3583456 3919405 4479320 6271048 7838810 8958640 12542096 15677620 17917280 25084192 31355240 62710480 125420960