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125794968 = 233131737641
BaseRepresentation
bin1110111111101…
…11101010011000
322202201001020220
413133313222120
5224200414333
620252120040
73055145115
oct737675230
9282631226
10125794968
116500a692
1236166020
13200a57c0
14129c790c
15b09c8b3
hex77f7a98

125794968 has 128 divisors (see below), whose sum is σ = 368867520. Its totient is φ = 35389440.

The previous prime is 125794937. The next prime is 125794997. The reversal of 125794968 is 869497521.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 125794968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195928 + ... + 196568.

Almost surely, 2125794968 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 125794968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184433760).

125794968 is an abundant number, since it is smaller than the sum of its proper divisors (243072552).

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

125794968 is a wasteful number, since it uses less digits than its factorization.

125794968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 125794968 is about 11215.8355908064. The cubic root of 125794968 is about 501.0577182199.

The spelling of 125794968 in words is "one hundred twenty-five million, seven hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 68 74 78 102 104 111 136 148 156 204 221 222 296 312 408 442 444 481 629 641 663 884 888 962 1258 1282 1326 1443 1768 1887 1923 1924 2516 2564 2652 2886 3774 3846 3848 5032 5128 5304 5772 7548 7692 8177 8333 10897 11544 15096 15384 16354 16666 21794 23717 24531 24999 32691 32708 33332 43588 47434 49062 49998 65382 65416 66664 71151 87176 94868 98124 99996 130764 141661 142302 189736 196248 199992 261528 283322 284604 308321 403189 424983 566644 569208 616642 806378 849966 924963 1133288 1209567 1233284 1612756 1699932 1849926 2419134 2466568 3225512 3399864 3699852 4838268 5241457 7399704 9676536 10482914 15724371 20965828 31448742 41931656 62897484 125794968