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125520384 = 29311171923
BaseRepresentation
bin1110111101101…
…00101000000000
322202012002121010
413132310220000
5224113123014
620242200520
73052622433
oct736645000
9282162533
10125520384
1164942360
1236053140
132000a822
141295581a
15b046359
hex77b4a00

125520384 has 320 divisors, whose sum is σ = 424258560. Its totient is φ = 32440320.

The previous prime is 125520383. The next prime is 125520427. The reversal of 125520384 is 483025521.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125520383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5457397 + ... + 5457419.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2125520384 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 125520384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

125520384 is an abundant number, since it is smaller than the sum of its proper divisors (298738176).

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

125520384 is a wasteful number, since it uses less digits than its factorization.

125520384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 125520384 is about 11203.5879967089. The cubic root of 125520384 is about 500.6928847114.

The spelling of 125520384 in words is "one hundred twenty-five million, five hundred twenty thousand, three hundred eighty-four".