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125696720 = 2451571209
BaseRepresentation
bin1110111110111…
…11101011010000
322202112001111002
413133133223100
5224134243340
620250041132
73054255512
oct737375320
9282461432
10125696720
1164a52896
12361191a8
132006cb76
141299dbb2
15b07d715
hex77dfad0

125696720 has 20 divisors (see below), whose sum is σ = 292245060. Its totient is φ = 50278656.

The previous prime is 125696719. The next prime is 125696741. The reversal of 125696720 is 27696521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32535616 + 93161104 = 5704^2 + 9652^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) 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 3 ways as a sum of consecutive naturals, for example, 785525 + ... + 785684.

It is an arithmetic number, because the mean of its divisors is an integer number (14612253).

Almost surely, 2125696720 is an apocalyptic number.

125696720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125696720 is an abundant number, since it is smaller than the sum of its proper divisors (166548340).

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

125696720 is a wasteful number, since it uses less digits than its factorization.

125696720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571222 (or 1571216 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 125696720 is about 11211.4548565295. The cubic root of 125696720 is about 500.9272393913.

The spelling of 125696720 in words is "one hundred twenty-five million, six hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1571209 3142418 6284836 7856045 12569672 15712090 25139344 31424180 62848360 125696720