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125393796 = 2232112961179
BaseRepresentation
bin1110111100101…
…01101110000100
322201221122221200
413132111232010
5224100100141
620235342500
73051554403
oct736255604
9281848850
10125393796
1164866240
1235bb1a30
131cc95018
141292163a
15b01dab6
hex7795b84

125393796 has 144 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 35884800.

The previous prime is 125393773. The next prime is 125393797. The reversal of 125393796 is 697393521.

It is not an unprimeable number, because it can be changed into a prime (125393797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700435 + ... + 700613.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2125393796 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 125393796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

125393796 is an abundant number, since it is smaller than the sum of its proper divisors (240207804).

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

125393796 is a wasteful number, since it uses less digits than its factorization.

125393796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 125393796 is about 11197.9371314542. The cubic root of 125393796 is about 500.5245109175.

The spelling of 125393796 in words is "one hundred twenty-five million, three hundred ninety-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 61 66 87 99 116 122 132 174 179 183 198 244 261 319 348 358 366 396 522 537 549 638 671 716 732 957 1044 1074 1098 1276 1342 1611 1769 1914 1969 2013 2148 2196 2684 2871 3222 3538 3828 3938 4026 5191 5307 5742 5907 6039 6444 7076 7876 8052 10382 10614 10919 11484 11814 12078 15573 15921 17721 19459 20764 21228 21838 23628 24156 31146 31842 32757 35442 38918 43676 46719 57101 58377 62292 63684 65514 70884 77836 93438 98271 114202 116754 120109 131028 171303 175131 186876 196542 228404 233508 240218 316651 342606 350262 360327 393084 480436 513909 633302 685212 700524 720654 949953 1027818 1080981 1266604 1441308 1899906 2055636 2161962 2849859 3483161 3799812 4323924 5699718 6966322 10449483 11399436 13932644 20898966 31348449 41797932 62696898 125393796