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125768692 = 22722321213
BaseRepresentation
bin1110111111100…
…01001111110100
322202122201012201
413133301033310
5224144044232
620251354244
73055005400
oct737611764
9282581181
10125768692
1164aa1975
1236152984
132009685a
14129bc100
15b094be7
hex77f13f4

125768692 has 54 divisors (see below), whose sum is σ = 267865458. Its totient is φ = 51514848.

The previous prime is 125768683. The next prime is 125768693. The reversal of 125768692 is 296867521.

It can be written as a sum of positive squares in only one way, i.e., 75585636 + 50183056 = 8694^2 + 7084^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125768693) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103078 + ... + 104290.

Almost surely, 2125768692 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 125768692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133932729).

125768692 is an abundant number, since it is smaller than the sum of its proper divisors (142096766).

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

125768692 is a wasteful number, since it uses less digits than its factorization.

125768692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1245 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 125768692 is about 11214.6641501206. The cubic root of 125768692 is about 501.0228288821.

The spelling of 125768692 in words is "one hundred twenty-five million, seven hundred sixty-eight thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1058 1127 1213 2116 2254 2426 3703 4508 4852 7406 8491 14812 16982 25921 27899 33964 51842 55798 59437 103684 111596 118874 195293 237748 390586 641677 781172 1283354 1367051 2566708 2734102 4491739 5468204 8983478 17966956 31442173 62884346 125768692