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125498880 = 2932513419
BaseRepresentation
bin1110111101011…
…11011000000000
322202011000002200
413132233120000
5224111431010
620241513200
73052502643
oct736573000
9282130080
10125498880
1164928191
1236042800
1320000ac0
141294ba5a
15b03ecc0
hex77af600

125498880 has 240 divisors, whose sum is σ = 469188720. Its totient is φ = 30818304.

The previous prime is 125498851. The next prime is 125498903. The reversal of 125498880 is 88894521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299311 + ... + 299729.

It is an arithmetic number, because the mean of its divisors is an integer number (1954953).

Almost surely, 2125498880 is an apocalyptic number.

125498880 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 125498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360).

125498880 is an abundant number, since it is smaller than the sum of its proper divisors (343689840).

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

125498880 is a wasteful number, since it uses less digits than its factorization.

125498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 125498880 is about 11202.6282630461. The cubic root of 125498880 is about 500.6642903791.

The spelling of 125498880 in words is "one hundred twenty-five million, four hundred ninety-eight thousand, eight hundred eighty".