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125438080 = 275195997
BaseRepresentation
bin1110111101000…
…00100010000000
322202000220200211
413132200202000
5224103004310
620240323504
73052130455
oct736404200
9282026624
10125438080
1164896539
1236013594
131ccac221
141293382c
15b02bc8a
hex77a0880

125438080 has 32 divisors (see below), whose sum is σ = 299876940. Its totient is φ = 50174976.

The previous prime is 125438063. The next prime is 125438081. The reversal of 125438080 is 80834521.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 19430464 = 10296^2 + 4408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (125438081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97359 + ... + 98638.

Almost surely, 2125438080 is an apocalyptic number.

125438080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125438080 is an abundant number, since it is smaller than the sum of its proper divisors (174438860).

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

125438080 is an equidigital number, since it uses as much as digits as its factorization.

125438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196016 (or 196004 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 125438080 is about 11199.9142853863. The cubic root of 125438080 is about 500.5834256309.

It can be divided in two parts, 125 and 438080, that multiplied together give a square (54760000 = 74002).

The spelling of 125438080 in words is "one hundred twenty-five million, four hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 195997 391994 783988 979985 1567976 1959970 3135952 3919940 6271904 7839880 12543808 15679760 25087616 31359520 62719040 125438080