Search a number
-
+
125976664 = 231117107787
BaseRepresentation
bin1111000001001…
…00000001011000
322210001021111101
413200210001120
5224222223124
620300041144
73056532622
oct740440130
9283037441
10125976664
1165124150
12362331b4
132013a408
1412a33c12
15b0d6644
hex7824058

125976664 has 64 divisors (see below), whose sum is σ = 275736960. Its totient is φ = 53322240.

The previous prime is 125976659. The next prime is 125976691. The reversal of 125976664 is 466679521.

It is a Smith number, since the sum of its digits (46) 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 15 ways as a sum of consecutive naturals, for example, 159679 + ... + 160465.

It is an arithmetic number, because the mean of its divisors is an integer number (4308390).

Almost surely, 2125976664 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 125976664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137868480).

125976664 is an abundant number, since it is smaller than the sum of its proper divisors (149760296).

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

125976664 is a wasteful number, since it uses less digits than its factorization.

125976664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 125976664 is about 11223.9326441315. The cubic root of 125976664 is about 501.2988417653.

The spelling of 125976664 in words is "one hundred twenty-five million, nine hundred seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 107 136 187 214 374 428 748 787 856 1177 1496 1574 1819 2354 3148 3638 4708 6296 7276 8657 9416 13379 14552 17314 20009 26758 34628 40018 53516 69256 80036 84209 107032 147169 160072 168418 294338 336836 588676 673672 926299 1177352 1431553 1852598 2863106 3705196 5726212 7410392 11452424 15747083 31494166 62988332 125976664