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426261120 = 2735222011
BaseRepresentation
bin11001011010000…
…011101010000000
31002201002022022220
4121122003222000
51333110323440
6110144131040
713364105535
oct3132035200
91081068286
10426261120
111a968231a
12ba906a80
136a40781c
144087cd8c
152764e8d0
hex19683a80

426261120 has 64 divisors (see below), whose sum is σ = 1358713440. Its totient is φ = 113669120.

The previous prime is 426261119. The next prime is 426261161. The reversal of 426261120 is 21162624.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 109086 + ... + 112925.

Almost surely, 2426261120 is an apocalyptic number.

426261120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426261120 is an abundant number, since it is smaller than the sum of its proper divisors (932452320).

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

426261120 is a wasteful number, since it uses less digits than its factorization.

426261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222033 (or 222021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 426261120 is about 20646.0921241769. The cubic root of 426261120 is about 752.5902262280.

The spelling of 426261120 in words is "four hundred twenty-six million, two hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 222011 444022 666033 888044 1110055 1332066 1776088 2220110 2664132 3330165 3552176 4440220 5328264 6660330 7104352 8880440 10656528 13320660 14208704 17760880 21313056 26641320 28417408 35521760 42626112 53282640 71043520 85252224 106565280 142087040 213130560 426261120