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125741820 = 22352095697
BaseRepresentation
bin1110111111010…
…10101011111100
322202121100100110
413133222223330
5224142214240
620251030020
73054534141
oct737525374
9282540313
10125741820
1164a83766
123613b310
1320087559
14129b23c8
15b08bc80
hex77eaafc

125741820 has 24 divisors (see below), whose sum is σ = 352077264. Its totient is φ = 33531136.

The previous prime is 125741789. The next prime is 125741827. The reversal of 125741820 is 28147521.

It is a super-2 number, since 2×1257418202 = 31622010593824800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125741827) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1047789 + ... + 1047908.

It is an arithmetic number, because the mean of its divisors is an integer number (14669886).

Almost surely, 2125741820 is an apocalyptic number.

125741820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125741820 is an abundant number, since it is smaller than the sum of its proper divisors (226335444).

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

125741820 is a wasteful number, since it uses less digits than its factorization.

125741820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095709 (or 2095707 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 125741820 is about 11213.4660118984. The cubic root of 125741820 is about 500.9871431476.

The spelling of 125741820 in words is "one hundred twenty-five million, seven hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2095697 4191394 6287091 8382788 10478485 12574182 20956970 25148364 31435455 41913940 62870910 125741820