Search a number
-
+
125993556 = 223513359
BaseRepresentation
bin1111000001010…
…00001001010100
322210002010200000
413200220021110
5224223243211
620300251300
73056633103
oct740501124
9283063600
10125993556
1165135907
1236240b30
1320145000
1412a3a03a
15b0db656
hex7828254

125993556 has 144 divisors (see below), whose sum is σ = 363854400. Its totient is φ = 38110176.

The previous prime is 125993521. The next prime is 125993587. The reversal of 125993556 is 655399521.

125993556 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 93 + 556 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2135455 + ... + 2135513.

Almost surely, 2125993556 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 125993556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181927200).

125993556 is an abundant number, since it is smaller than the sum of its proper divisors (237860844).

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

125993556 is an equidigital number, since it uses as much as digits as its factorization.

125993556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its digits is 364500, while the sum is 45.

The square root of 125993556 is about 11224.6851180779. The cubic root of 125993556 is about 501.3212468714.

The spelling of 125993556 in words is "one hundred twenty-five million, nine hundred ninety-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 81 108 117 118 156 162 169 177 234 236 243 324 338 351 354 468 486 507 531 676 702 708 767 972 1014 1053 1062 1404 1521 1534 1593 2028 2106 2124 2197 2301 3042 3068 3159 3186 4212 4394 4563 4602 4779 6084 6318 6372 6591 6903 8788 9126 9204 9558 9971 12636 13182 13689 13806 14337 18252 19116 19773 19942 20709 26364 27378 27612 28674 29913 39546 39884 41067 41418 54756 57348 59319 59826 62127 79092 82134 82836 89739 118638 119652 124254 129623 164268 177957 179478 186381 237276 248508 259246 269217 355914 358956 372762 388869 518492 533871 538434 711828 745524 777738 807651 1067742 1076868 1166607 1555476 1615302 2135484 2333214 2422953 3230604 3499821 4666428 4845906 6999642 9691812 10499463 13999284 20998926 31498389 41997852 62996778 125993556