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125535040 = 265392297
BaseRepresentation
bin1110111101110…
…00001101000000
322202012211200221
413132320031000
5224114110130
620242352424
73053013241
oct736701500
9282184627
10125535040
1164952374
123605b714
13200143b7
141295acc8
15b04a87a
hex77b8340

125535040 has 28 divisors (see below), whose sum is σ = 298931076. Its totient is φ = 50213888.

The previous prime is 125535031. The next prime is 125535101. The reversal of 125535040 is 40535521.

It can be written as a sum of positive squares in 2 ways, for example, as 15872256 + 109662784 = 3984^2 + 10472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125534996 and 125535014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195829 + ... + 196468.

Almost surely, 2125535040 is an apocalyptic number.

125535040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125535040 is an abundant number, since it is smaller than the sum of its proper divisors (173396036).

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

125535040 is an equidigital number, since it uses as much as digits as its factorization.

125535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392314 (or 392304 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 125535040 is about 11204.2420537937. The cubic root of 125535040 is about 500.7123712391.

The spelling of 125535040 in words is "one hundred twenty-five million, five hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 392297 784594 1569188 1961485 3138376 3922970 6276752 7845940 12553504 15691880 25107008 31383760 62767520 125535040