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125981104 = 2429614451
BaseRepresentation
bin1111000001001…
…01000110110000
322210001111120211
413200211012300
5224222343404
620300113504
73056551564
oct740450660
9283044524
10125981104
1165127517
1236235894
132013c442
1412a356a4
15b0d7b04
hex78251b0

125981104 has 40 divisors (see below), whose sum is σ = 256702320. Its totient is φ = 59808000.

The previous prime is 125981087. The next prime is 125981113. The reversal of 125981104 is 401189521.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 26079 + ... + 30529.

It is an arithmetic number, because the mean of its divisors is an integer number (6417558).

Almost surely, 2125981104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125981104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128351160).

125981104 is an abundant number, since it is smaller than the sum of its proper divisors (130721216).

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

125981104 is a wasteful number, since it uses less digits than its factorization.

125981104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 125981104 is about 11224.1304340247. The cubic root of 125981104 is about 501.3047310590.

The spelling of 125981104 in words is "one hundred twenty-five million, nine hundred eighty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 464 488 976 1769 3538 4451 7076 8902 14152 17804 28304 35608 71216 129079 258158 271511 516316 543022 1032632 1086044 2065264 2172088 4344176 7873819 15747638 31495276 62990552 125981104