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420272832 = 2637312703
BaseRepresentation
bin11001000011001…
…101101011000000
31002021211001221110
4121003031223000
51330042212312
6105411523320
713262155140
oct3103155300
91067731843
10420272832
111a6262221
12b88b9540
13690bbc65
143db60920
1526d6a43c
hex190cdac0

420272832 has 56 divisors (see below), whose sum is σ = 1270829056. Its totient is φ = 120077568.

The previous prime is 420272821. The next prime is 420272833. The reversal of 420272832 is 238272024.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 420272832.

It is not an unprimeable number, because it can be changed into a prime (420272833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155008 + ... + 157695.

It is an arithmetic number, because the mean of its divisors is an integer number (22693376).

Almost surely, 2420272832 is an apocalyptic number.

420272832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420272832 is an abundant number, since it is smaller than the sum of its proper divisors (850556224).

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

420272832 is a wasteful number, since it uses less digits than its factorization.

420272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312725 (or 312715 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 420272832 is about 20500.5568704853. The cubic root of 420272832 is about 749.0493626718.

The spelling of 420272832 in words is "four hundred twenty million, two hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 312703 625406 938109 1250812 1876218 2188921 2501624 3752436 4377842 5003248 6566763 7504872 8755684 10006496 13133526 15009744 17511368 20012992 26267052 30019488 35022736 52534104 60038976 70045472 105068208 140090944 210136416 420272832