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420724116 = 223211686781
BaseRepresentation
bin11001000100111…
…011110110010100
31002022122222222200
4121010323312110
51330201132431
6105425324500
713266044631
oct3104736624
91068588880
10420724116
111a654028a
12b8a96730
13692194a7
143dc3b188
1526e08ee6
hex1913bd94

420724116 has 18 divisors (see below), whose sum is σ = 1063497162. Its totient is φ = 140241360.

The previous prime is 420724097. The next prime is 420724133. The reversal of 420724116 is 611427024.

It can be written as a sum of positive squares in only one way, i.e., 299636100 + 121088016 = 17310^2 + 11004^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 420724116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5843355 + ... + 5843426.

Almost surely, 2420724116 is an apocalyptic number.

It is an amenable number.

420724116 is an abundant number, since it is smaller than the sum of its proper divisors (642773046).

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

420724116 is a wasteful number, since it uses less digits than its factorization.

420724116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686791 (or 11686786 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 420724116 is about 20511.5605452145. The cubic root of 420724116 is about 749.3173735500.

The spelling of 420724116 in words is "four hundred twenty million, seven hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 11686781 23373562 35060343 46747124 70120686 105181029 140241372 210362058 420724116