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129125600 = 2552161407
BaseRepresentation
bin1111011001001…
…00110011100000
322222222021000122
413230210303200
5231024004400
620451335412
73125356322
oct754446340
9288867018
10129125600
1166984a7a
12372b1568
13209a07a6
1413213612
15b509685
hex7b24ce0

129125600 has 36 divisors (see below), whose sum is σ = 315229824. Its totient is φ = 51649920.

The previous prime is 129125573. The next prime is 129125621. The reversal of 129125600 is 6521921.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 129125600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79904 + ... + 81503.

It is an arithmetic number, because the mean of its divisors is an integer number (8756384).

Almost surely, 2129125600 is an apocalyptic number.

129125600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129125600 is an abundant number, since it is smaller than the sum of its proper divisors (186104224).

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

129125600 is a wasteful number, since it uses less digits than its factorization.

129125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161427 (or 161414 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 129125600 is about 11363.3445780721. The cubic root of 129125600 is about 505.4413682098.

The spelling of 129125600 in words is "one hundred twenty-nine million, one hundred twenty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 161407 322814 645628 807035 1291256 1614070 2582512 3228140 4035175 5165024 6456280 8070350 12912560 16140700 25825120 32281400 64562800 129125600