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420729918 = 23712778877
BaseRepresentation
bin11001000100111…
…101010000111110
31002022200021221120
4121010331100332
51330201324133
6105425411410
713266100560
oct3104752076
91068607846
10420729918
111a6544684
12b8a99b66
136921c01b
143dc3d330
1526e0aab3
hex1913d43e

420729918 has 32 divisors (see below), whose sum is σ = 969252864. Its totient is φ = 119260512.

The previous prime is 420729913. The next prime is 420729919. The reversal of 420729918 is 819927024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 420729918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420729913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34105 + ... + 44772.

It is an arithmetic number, because the mean of its divisors is an integer number (30289152).

Almost surely, 2420729918 is an apocalyptic number.

420729918 is an abundant number, since it is smaller than the sum of its proper divisors (548522946).

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

420729918 is a wasteful number, since it uses less digits than its factorization.

420729918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79016.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 420729918 is about 20511.7019771642. The cubic root of 420729918 is about 749.3208180237.

The spelling of 420729918 in words is "four hundred twenty million, seven hundred twenty-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 127 254 381 762 889 1778 2667 5334 78877 157754 236631 473262 552139 1104278 1656417 3312834 10017379 20034758 30052137 60104274 70121653 140243306 210364959 420729918