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420124968 = 2334648341
BaseRepresentation
bin11001000010101…
…001100100101000
31002021112120010000
4121002221210220
51330022444333
6105404423000
713261001064
oct3102514450
91067476100
10420124968
111a617111a
12b8847a60
1369069873
143db22aa4
1526d3b713
hex190a9928

420124968 has 40 divisors (see below), whose sum is σ = 1176740730. Its totient is φ = 140041440.

The previous prime is 420124951. The next prime is 420124981. The reversal of 420124968 is 869421024.

It can be written as a sum of positive squares in only one way, i.e., 405700164 + 14424804 = 20142^2 + 3798^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 323523 + ... + 324818.

Almost surely, 2420124968 is an apocalyptic number.

It is an amenable number.

420124968 is an abundant number, since it is smaller than the sum of its proper divisors (756615762).

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

420124968 is a wasteful number, since it uses less digits than its factorization.

420124968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648359 (or 648346 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 420124968 is about 20496.9502121657. The cubic root of 420124968 is about 748.9615067059.

The spelling of 420124968 in words is "four hundred twenty million, one hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 648341 1296682 1945023 2593364 3890046 5186728 5835069 7780092 11670138 15560184 17505207 23340276 35010414 46680552 52515621 70020828 105031242 140041656 210062484 420124968