Search a number
-
+
125682156 = 2232171371499
BaseRepresentation
bin1110111110111…
…00000111101100
322202111022111200
413133130013230
5224133312111
620245445500
73054165165
oct737340754
9282438450
10125682156
1164a42956
1236110890
1320066352
141299876c
15b079256
hex77dc1ec

125682156 has 72 divisors (see below), whose sum is σ = 339066000. Its totient is φ = 39115776.

The previous prime is 125682149. The next prime is 125682157. The reversal of 125682156 is 651286521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125682156.

It is not an unprimeable number, because it can be changed into a prime (125682157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83095 + ... + 84593.

It is an arithmetic number, because the mean of its divisors is an integer number (4709250).

Almost surely, 2125682156 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 125682156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169533000).

125682156 is an abundant number, since it is smaller than the sum of its proper divisors (213383844).

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

125682156 is a wasteful number, since it uses less digits than its factorization.

125682156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1658 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 125682156 is about 11210.8053234368. The cubic root of 125682156 is about 500.9078918005.

The spelling of 125682156 in words is "one hundred twenty-five million, six hundred eighty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 306 411 548 612 822 1233 1499 1644 2329 2466 2998 4497 4658 4932 5996 6987 8994 9316 13491 13974 17988 20961 25483 26982 27948 41922 50966 53964 76449 83844 101932 152898 205363 229347 305796 410726 458694 616089 821452 917388 1232178 1848267 2464356 3491171 3696534 6982342 7393068 10473513 13964684 20947026 31420539 41894052 62841078 125682156