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125900608 = 2671103269
BaseRepresentation
bin1111000000100…
…01011101000000
322202220102011111
413200101131000
5224212304413
620254253104
73056065111
oct740213500
9282812144
10125900608
1165081a99
12361b7194
1320111902
1412a14208
15b0bdd3d
hex7811740

125900608 has 56 divisors (see below), whose sum is σ = 256763520. Its totient is φ = 61232640.

The previous prime is 125900591. The next prime is 125900609. The reversal of 125900608 is 806009521.

It is a hoax number, since the sum of its digits (31) 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 125900608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125900609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467898 + ... + 468166.

Almost surely, 2125900608 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 125900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

125900608 is an abundant number, since it is smaller than the sum of its proper divisors (130862912).

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

125900608 is a wasteful number, since it uses less digits than its factorization.

125900608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 125900608 is about 11220.5440153319. The cubic root of 125900608 is about 501.1979382624.

The spelling of 125900608 in words is "one hundred twenty-five million, nine hundred thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 71 103 142 206 269 284 412 538 568 824 1076 1136 1648 2152 2272 3296 4304 4544 6592 7313 8608 14626 17216 19099 27707 29252 38198 55414 58504 76396 110828 117008 152792 221656 234016 305584 443312 468032 611168 886624 1222336 1773248 1967197 3934394 7868788 15737576 31475152 62950304 125900608