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18638430 = 2351921721
BaseRepresentation
bin100011100011…
…0011001011110
31022001221010020
41013012121132
514232412210
61503253010
7314265306
oct107063136
938057106
1018638430
11a580368
1262aa166
133b27775
142692606
151982770
hex11c665e

18638430 has 48 divisors (see below), whose sum is σ = 47237904. Its totient is φ = 4705920.

The previous prime is 18638413. The next prime is 18638467. The reversal of 18638430 is 3483681.

It is a junction number, because it is equal to n+sod(n) for n = 18638391 and 18638400.

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 23 ways as a sum of consecutive naturals, for example, 9970 + ... + 11690.

It is an arithmetic number, because the mean of its divisors is an integer number (984123).

Almost surely, 218638430 is an apocalyptic number.

18638430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18638430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618952).

18638430 is an abundant number, since it is smaller than the sum of its proper divisors (28599474).

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

18638430 is a wasteful number, since it uses less digits than its factorization.

18638430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 18638430 is about 4317.2248030419. The cubic root of 18638430 is about 265.1366567024.

The spelling of 18638430 in words is "eighteen million, six hundred thirty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1721 1805 2166 3442 3610 5163 5415 8605 10326 10830 17210 25815 32699 51630 65398 98097 163495 196194 326990 490485 621281 980970 1242562 1863843 3106405 3727686 6212810 9319215 18638430