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125381600 = 2552156727
BaseRepresentation
bin1110111100100…
…10101111100000
322201221001012222
413132102233200
5224044202400
620235210212
73051504011
oct736225740
9281831188
10125381600
1164858063
1235ba6968
131cc8c5c6
141291b008
15b01a185
hex7792be0

125381600 has 36 divisors (see below), whose sum is σ = 306089784. Its totient is φ = 50152320.

The previous prime is 125381573. The next prime is 125381609. The reversal of 125381600 is 6183521.

It is a self number, because there is not a number n which added to its sum of digits gives 125381600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125381609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77564 + ... + 79163.

It is an arithmetic number, because the mean of its divisors is an integer number (8502494).

Almost surely, 2125381600 is an apocalyptic number.

125381600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125381600 is an abundant number, since it is smaller than the sum of its proper divisors (180708184).

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

125381600 is a wasteful number, since it uses less digits than its factorization.

125381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156747 (or 156734 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 125381600 is about 11197.3925536260. The cubic root of 125381600 is about 500.5082831214.

The spelling of 125381600 in words is "one hundred twenty-five million, three hundred eighty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 156727 313454 626908 783635 1253816 1567270 2507632 3134540 3918175 5015264 6269080 7836350 12538160 15672700 25076320 31345400 62690800 125381600