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420959880 = 2332511106303
BaseRepresentation
bin11001000101110…
…101011010001000
31002100002222101200
4121011311122020
51330231204010
6105434344200
713301046165
oct3105653210
91070088350
10420959880
111a6691430
12b8b8b060
136929c8b3
143dc9d06c
1526e53cc0
hex19175688

420959880 has 96 divisors (see below), whose sum is σ = 1492508160. Its totient is φ = 102049920.

The previous prime is 420959879. The next prime is 420959887. The reversal of 420959880 is 88959024.

It is a super-2 number, since 2×4209598802 = 354414441139228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (420959887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49192 + ... + 57111.

It is an arithmetic number, because the mean of its divisors is an integer number (15546960).

Almost surely, 2420959880 is an apocalyptic number.

420959880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420959880 is an abundant number, since it is smaller than the sum of its proper divisors (1071548280).

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

420959880 is a wasteful number, since it uses less digits than its factorization.

420959880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106331 (or 106324 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 420959880 is about 20517.3068408112. The cubic root of 420959880 is about 749.4573140840.

The spelling of 420959880 in words is "four hundred twenty million, nine hundred fifty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 106303 212606 318909 425212 531515 637818 850424 956727 1063030 1169333 1275636 1594545 1913454 2126060 2338666 2551272 3189090 3507999 3826908 4252120 4677332 4783635 5846665 6378180 7015998 7653816 9354664 9567270 10523997 11693330 12756360 14031996 17539995 19134540 21047994 23386660 28063992 35079990 38269080 42095988 46773320 52619985 70159980 84191976 105239970 140319960 210479940 420959880