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420125868 = 223219795897
BaseRepresentation
bin11001000010101…
…001110010101100
31002021112121100100
4121002221302230
51330023011433
6105404431100
713261003521
oct3102516254
91067477310
10420125868
111a6171868
12b8848490
136906a0b6
143db23148
1526d3bb13
hex190a9cac

420125868 has 36 divisors (see below), whose sum is σ = 1062701640. Its totient is φ = 139947456.

The previous prime is 420125833. The next prime is 420125869. The reversal of 420125868 is 868521024.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (420125869) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 68296 + ... + 74192.

It is an arithmetic number, because the mean of its divisors is an integer number (29519490).

Almost surely, 2420125868 is an apocalyptic number.

It is an amenable number.

420125868 is an abundant number, since it is smaller than the sum of its proper divisors (642575772).

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

420125868 is a wasteful number, since it uses less digits than its factorization.

420125868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 420125868 is about 20496.9721666396. The cubic root of 420125868 is about 748.9620415189.

The spelling of 420125868 in words is "four hundred twenty million, one hundred twenty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1979 3958 5897 5937 7916 11794 11874 17691 17811 23588 23748 35382 35622 53073 70764 71244 106146 212292 11670163 23340326 35010489 46680652 70020978 105031467 140041956 210062934 420125868