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125789620 = 225114313297
BaseRepresentation
bin1110111111101…
…10010110110100
322202200202220211
413133312112310
5224200231440
620252035204
73055123405
oct737662664
9282622824
10125789620
1165006670
1236162b04
13200a3238
14129c59ac
15b09aeea
hex77f65b4

125789620 has 48 divisors (see below), whose sum is σ = 294896448. Its totient is φ = 44674560.

The previous prime is 125789569. The next prime is 125789621. The reversal of 125789620 is 26987521.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125789621) 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, 2812 + ... + 16108.

It is an arithmetic number, because the mean of its divisors is an integer number (6143676).

Almost surely, 2125789620 is an apocalyptic number.

125789620 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 125789620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147448224).

125789620 is an abundant number, since it is smaller than the sum of its proper divisors (169106828).

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

125789620 is a wasteful number, since it uses less digits than its factorization.

125789620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 125789620 is about 11215.5971753625. The cubic root of 125789620 is about 501.0506175261.

The spelling of 125789620 in words is "one hundred twenty-five million, seven hundred eighty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 13297 26594 53188 66485 132970 146267 265940 292534 571771 585068 731335 1143542 1462670 2287084 2858855 2925340 5717710 6289481 11435420 12578962 25157924 31447405 62894810 125789620