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125696820 = 22354434729
BaseRepresentation
bin1110111110111…
…11101100110100
322202112001121210
413133133230310
5224134244240
620250041420
73054256014
oct737375464
9282461553
10125696820
1164a52977
1236119270
132006cc22
141299dc44
15b07d780
hex77dfb34

125696820 has 48 divisors (see below), whose sum is σ = 352820160. Its totient is φ = 33436416.

The previous prime is 125696819. The next prime is 125696833. The reversal of 125696820 is 28696521.

It is a super-2 number, since 2×1256968202 = 31599381116224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24216 + ... + 28944.

It is an arithmetic number, because the mean of its divisors is an integer number (7350420).

Almost surely, 2125696820 is an apocalyptic number.

125696820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125696820 is an abundant number, since it is smaller than the sum of its proper divisors (227123340).

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

125696820 is a wasteful number, since it uses less digits than its factorization.

125696820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 125696820 is about 11211.4593162532. The cubic root of 125696820 is about 500.9273722314.

The spelling of 125696820 in words is "one hundred twenty-five million, six hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 443 886 1329 1772 2215 2658 4430 4729 5316 6645 8860 9458 13290 14187 18916 23645 26580 28374 47290 56748 70935 94580 141870 283740 2094947 4189894 6284841 8379788 10474735 12569682 20949470 25139364 31424205 41898940 62848410 125696820