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125748090 = 232513313467
BaseRepresentation
bin1110111111011…
…00001101111010
322202121122221200
413133230031322
5224142414330
620251115030
73054561336
oct737541572
9282548850
10125748090
1164a88446
1236142a76
132008a370
14129b47c6
15b08da60
hex77ec37a

125748090 has 96 divisors (see below), whose sum is σ = 363557376. Its totient is φ = 29946240.

The previous prime is 125748083. The next prime is 125748101. The reversal of 125748090 is 90847521.

125748090 is a `hidden beast` number, since 1 + 2 + 574 + 80 + 9 + 0 = 666.

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, 34537 + ... + 38003.

It is an arithmetic number, because the mean of its divisors is an integer number (3787056).

Almost surely, 2125748090 is an apocalyptic number.

125748090 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 125748090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181778688).

125748090 is an abundant number, since it is smaller than the sum of its proper divisors (237809286).

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

125748090 is a wasteful number, since it uses less digits than its factorization.

125748090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125748090 is about 11213.7455829888. The cubic root of 125748090 is about 500.9954700966.

The spelling of 125748090 in words is "one hundred twenty-five million, seven hundred forty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3467 3627 4030 6045 6934 7254 10401 12090 17335 18135 20802 31203 34670 36270 45071 52005 62406 90142 104010 107477 135213 156015 214954 225355 270426 312030 322431 405639 450710 537385 644862 676065 811278 967293 1074770 1352130 1397201 1612155 1934586 2028195 2794402 3224310 4056390 4191603 4836465 6986005 8383206 9672930 12574809 13972010 20958015 25149618 41916030 62874045 125748090