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420792060 = 223513643839
BaseRepresentation
bin11001000101001…
…100011011111100
31002022210110012010
4121011030123330
51330210321220
6105431011220
713266450003
oct3105143374
91068713163
10420792060
111a6587337
12b8b09b10
13692413b0
143dc57c3a
1526e1e1e0
hex1914c6fc

420792060 has 96 divisors (see below), whose sum is σ = 1272337920. Its totient is φ = 103295232.

The previous prime is 420792049. The next prime is 420792077. The reversal of 420792060 is 60297024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501121 + ... + 501959.

It is an arithmetic number, because the mean of its divisors is an integer number (13253520).

Almost surely, 2420792060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420792060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636168960).

420792060 is an abundant number, since it is smaller than the sum of its proper divisors (851545860).

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

420792060 is a wasteful number, since it uses less digits than its factorization.

420792060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 420792060 is about 20513.2167150840. The cubic root of 420792060 is about 749.3577078826.

The spelling of 420792060 in words is "four hundred twenty million, seven hundred ninety-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 643 780 839 1286 1678 1929 2517 2572 3215 3356 3858 4195 5034 6430 7716 8359 8390 9645 10068 10907 12585 12860 16718 16780 19290 21814 25077 25170 32721 33436 38580 41795 43628 50154 50340 54535 65442 83590 100308 109070 125385 130884 163605 167180 218140 250770 327210 501540 539477 654420 1078954 1618431 2157908 2697385 3236862 5394770 6473724 7013201 8092155 10789540 14026402 16184310 21039603 28052804 32368620 35066005 42079206 70132010 84158412 105198015 140264020 210396030 420792060