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423630090 = 2325131272851
BaseRepresentation
bin11001010000000…
…001010100001010
31002112010122020100
4121100001110022
51331422130330
6110011510230
713332540102
oct3120012412
91075118210
10423630090
111a8145614
12b9a58376
13699c60c0
1440396202
15272d0060
hex1940150a

423630090 has 96 divisors (see below), whose sum is σ = 1195923456. Its totient is φ = 103420800.

The previous prime is 423630073. The next prime is 423630101. The reversal of 423630090 is 90036324.

423630090 is a `hidden beast` number, since 4 + 23 + 630 + 0 + 9 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147165 + ... + 150015.

It is an arithmetic number, because the mean of its divisors is an integer number (12457536).

Almost surely, 2423630090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423630090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597961728).

423630090 is an abundant number, since it is smaller than the sum of its proper divisors (772293366).

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

423630090 is a wasteful number, since it uses less digits than its factorization.

423630090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 423630090 is about 20582.2761131999. The cubic root of 423630090 is about 751.0386143763.

The spelling of 423630090 in words is "four hundred twenty-three million, six hundred thirty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 127 130 195 234 254 381 390 585 635 762 1143 1170 1270 1651 1905 2286 2851 3302 3810 4953 5702 5715 8255 8553 9906 11430 14255 14859 16510 17106 24765 25659 28510 29718 37063 42765 49530 51318 74126 74295 85530 111189 128295 148590 185315 222378 256590 333567 362077 370630 555945 667134 724154 1086231 1111890 1667835 1810385 2172462 3258693 3335670 3620770 4707001 5431155 6517386 9414002 10862310 14121003 16293465 23535005 28242006 32586930 42363009 47070010 70605015 84726018 141210030 211815045 423630090