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420668604 = 2232176431069
BaseRepresentation
bin11001000100101…
…110010010111100
31002022120011211200
4121010232102330
51330142343404
6105424215500
713265424036
oct3104562274
91068504750
10420668604
111a6502604
12b8a6a590
13691ca145
143dc24c56
1526de7839
hex1912e4bc

420668604 has 72 divisors (see below), whose sum is σ = 1128713040. Its totient is φ = 131645952.

The previous prime is 420668561. The next prime is 420668609. The reversal of 420668604 is 406866024.

It is a happy number.

420668604 is a `hidden beast` number, since 42 + 0 + 6 + 6 + 8 + 604 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420668609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392982 + ... + 394050.

It is an arithmetic number, because the mean of its divisors is an integer number (15676570).

Almost surely, 2420668604 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 420668604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564356520).

420668604 is an abundant number, since it is smaller than the sum of its proper divisors (708044436).

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

420668604 is a wasteful number, since it uses less digits than its factorization.

420668604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 420668604 is about 20510.2073124579. The cubic root of 420668604 is about 749.2844161368.

The spelling of 420668604 in words is "four hundred twenty million, six hundred sixty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 643 1069 1286 1929 2138 2572 3207 3858 4276 5787 6414 7716 9621 10931 11574 12828 18173 19242 21862 23148 32793 36346 38484 43724 54519 65586 72692 98379 109038 131172 163557 196758 218076 327114 393516 654228 687367 1374734 2062101 2749468 4124202 6186303 8248404 11685239 12372606 23370478 24745212 35055717 46740956 70111434 105167151 140222868 210334302 420668604