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420426132 = 223723321481
BaseRepresentation
bin11001000011110…
…011000110010100
31002022002212020020
4121003303012110
51330112114012
6105415105140
713263364110
oct3103630624
91068085206
10420426132
111a6357415
12b89721b0
1369143979
143dba0740
1526d9aa8c
hex190f3194

420426132 has 48 divisors (see below), whose sum is σ = 1126000512. Its totient is φ = 119600640.

The previous prime is 420426103. The next prime is 420426161. The reversal of 420426132 is 231624024.

It is an interprime number because it is at equal distance from previous prime (420426103) and next prime (420426161).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8832 + ... + 30312.

It is an arithmetic number, because the mean of its divisors is an integer number (23458344).

Almost surely, 2420426132 is an apocalyptic number.

420426132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420426132 is an abundant number, since it is smaller than the sum of its proper divisors (705574380).

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

420426132 is a wasteful number, since it uses less digits than its factorization.

420426132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21728 (or 21726 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 420426132 is about 20504.2954524168. The cubic root of 420426132 is about 749.1404267771.

The spelling of 420426132 in words is "four hundred twenty million, four hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 233 466 699 932 1398 1631 2796 3262 4893 6524 9786 19572 21481 42962 64443 85924 128886 150367 257772 300734 451101 601468 902202 1804404 5005073 10010146 15015219 20020292 30030438 35035511 60060876 70071022 105106533 140142044 210213066 420426132