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125704296 = 233216310711
BaseRepresentation
bin1110111111000…
…01100001101000
322202112102212200
413133201201220
5224140014141
620250140200
73054316554
oct737414150
9282472780
10125704296
1164a58553
1236121660
1320073453
14129a2864
15b080ab6
hex77e1868

125704296 has 48 divisors (see below), whose sum is σ = 342569760. Its totient is φ = 41640480.

The previous prime is 125704291. The next prime is 125704301. The reversal of 125704296 is 692407521.

It is an interprime number because it is at equal distance from previous prime (125704291) and next prime (125704301).

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 125704296.

It is not an unprimeable number, because it can be changed into a prime (125704291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6381 + ... + 17091.

It is an arithmetic number, because the mean of its divisors is an integer number (7136870).

Almost surely, 2125704296 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 125704296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171284880).

125704296 is an abundant number, since it is smaller than the sum of its proper divisors (216865464).

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

125704296 is a wasteful number, since it uses less digits than its factorization.

125704296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 125704296 is about 11211.7927201675. The cubic root of 125704296 is about 500.9373031610.

The spelling of 125704296 in words is "one hundred twenty-five million, seven hundred four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 10711 11736 21422 32133 42844 64266 85688 96399 128532 192798 257064 385596 771192 1745893 3491786 5237679 6983572 10475358 13967144 15713037 20950716 31426074 41901432 62852148 125704296