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420613660 = 225174572707
BaseRepresentation
bin11001000100100…
…000111000011100
31002022110101110201
4121010200320130
51330134114120
6105423113244
713265104615
oct3104407034
91068411421
10420613660
111a64752a5
12b8a42824
13691ab12c
143dc0cc0c
1526dd640a
hex19120e1c

420613660 has 48 divisors (see below), whose sum is σ = 937639584. Its totient is φ = 157943808.

The previous prime is 420613657. The next prime is 420613679. The reversal of 420613660 is 66316024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154027 + ... + 156733.

It is an arithmetic number, because the mean of its divisors is an integer number (19534158).

Almost surely, 2420613660 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 420613660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468819792).

420613660 is an abundant number, since it is smaller than the sum of its proper divisors (517025924).

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

420613660 is a wasteful number, since it uses less digits than its factorization.

420613660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 420613660 is about 20508.8678380841. The cubic root of 420613660 is about 749.2517930894.

Adding to 420613660 its reverse (66316024), we get a palindrome (486929684).

The spelling of 420613660 in words is "four hundred twenty million, six hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 457 914 1828 2285 2707 4570 5414 7769 9140 10828 13535 15538 27070 31076 38845 46019 54140 77690 92038 155380 184076 230095 460190 920380 1237099 2474198 4948396 6185495 12370990 21030683 24741980 42061366 84122732 105153415 210306830 420613660