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125832368 = 2417597841
BaseRepresentation
bin1111000000000…
…00110010110000
322202202221120002
413200000302300
5224203113433
620253005132
73055362134
oct740006260
9282687502
10125832368
11650357a2
12361837a8
13200b982c
14129d73c4
15b0a89e8
hex7800cb0

125832368 has 40 divisors (see below), whose sum is σ = 262550160. Its totient is φ = 58204160.

The previous prime is 125832361. The next prime is 125832389. The reversal of 125832368 is 863238521.

It is not an unprimeable number, because it can be changed into a prime (125832361) 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, 12128 + ... + 19968.

It is an arithmetic number, because the mean of its divisors is an integer number (6563754).

Almost surely, 2125832368 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 125832368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131275080).

125832368 is an abundant number, since it is smaller than the sum of its proper divisors (136717792).

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

125832368 is a wasteful number, since it uses less digits than its factorization.

125832368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7919 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 125832368 is about 11217.5027523955. The cubic root of 125832368 is about 501.1073696543.

The spelling of 125832368 in words is "one hundred twenty-five million, eight hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 944 1003 2006 4012 7841 8024 15682 16048 31364 62728 125456 133297 266594 462619 533188 925238 1066376 1850476 2132752 3700952 7401904 7864523 15729046 31458092 62916184 125832368