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125083320 = 23351397499
BaseRepresentation
bin1110111010010…
…01111010111000
322201100220001120
413131021322320
5224010131240
620224545240
73046122255
oct735117270
9281326046
10125083320
1164673a4a
1235a82220
131cbb68cb
141288042c
15aeabad0
hex7749eb8

125083320 has 64 divisors (see below), whose sum is σ = 378000000. Its totient is φ = 33111168.

The previous prime is 125083291. The next prime is 125083369. The reversal of 125083320 is 23380521.

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

It is a congruent number.

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, 12931 + ... + 20429.

It is an arithmetic number, because the mean of its divisors is an integer number (5906250).

Almost surely, 2125083320 is an apocalyptic number.

125083320 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 125083320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189000000).

125083320 is an abundant number, since it is smaller than the sum of its proper divisors (252916680).

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

125083320 is a wasteful number, since it uses less digits than its factorization.

125083320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125083320 is about 11184.0654504523. The cubic root of 125083320 is about 500.1110686590. Note that the first 3 decimals are identical.

The spelling of 125083320 in words is "one hundred twenty-five million, eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 7499 8340 14998 16680 22497 29996 37495 44994 59992 74990 89988 112485 149980 179976 224970 299960 449940 899880 1042361 2084722 3127083 4169444 5211805 6254166 8338888 10423610 12508332 15635415 20847220 25016664 31270830 41694440 62541660 125083320