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125153304 = 233192311933
BaseRepresentation
bin1110111010110…
…11000000011000
322201111110001120
413131123000120
5224014401204
620230245240
73046533303
oct735330030
9281443046
10125153304
1164711591
1235ab6820
131cc0c713
141289bb3a
15aec26d9
hex775b018

125153304 has 64 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 37800576.

The previous prime is 125153267. The next prime is 125153311. The reversal of 125153304 is 403351521.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 4522 + ... + 16454.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2125153304 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 125153304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

125153304 is an abundant number, since it is smaller than the sum of its proper divisors (218545896).

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

125153304 is a wasteful number, since it uses less digits than its factorization.

125153304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 125153304 is about 11187.1937499983. The cubic root of 125153304 is about 500.2043218271.

The spelling of 125153304 in words is "one hundred twenty-five million, one hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5244 10488 11933 23866 35799 47732 71598 95464 143196 226727 274459 286392 453454 548918 680181 823377 906908 1097836 1360362 1646754 1813816 2195672 2720724 3293508 5214721 5441448 6587016 10429442 15644163 20858884 31288326 41717768 62576652 125153304