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18038130 = 23511471163
BaseRepresentation
bin100010011001…
…1110101110010
31020221102122220
41010303311302
514104210010
61442341510
7306215205
oct104636562
936842586
1018038130
11a200350
12605a896
133977466
14257793c
1518b4970
hex1133d72

18038130 has 64 divisors (see below), whose sum is σ = 48273408. Its totient is φ = 4276160.

The previous prime is 18038123. The next prime is 18038131. The reversal of 18038130 is 3183081.

It is a self number, because there is not a number n which added to its sum of digits gives 18038130.

It is not an unprimeable number, because it can be changed into a prime (18038131) 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 31 ways as a sum of consecutive naturals, for example, 14929 + ... + 16091.

It is an arithmetic number, because the mean of its divisors is an integer number (754272).

Almost surely, 218038130 is an apocalyptic number.

18038130 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 18038130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24136704).

18038130 is an abundant number, since it is smaller than the sum of its proper divisors (30235278).

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

18038130 is a wasteful number, since it uses less digits than its factorization.

18038130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 18038130 is about 4247.1319734616. The cubic root of 18038130 is about 262.2590623679.

The spelling of 18038130 in words is "eighteen million, thirty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1163 1410 1551 2326 2585 3102 3489 5170 5815 6978 7755 11630 12793 15510 17445 25586 34890 38379 54661 63965 76758 109322 127930 163983 191895 273305 327966 383790 546610 601271 819915 1202542 1639830 1803813 3006355 3607626 6012710 9019065 18038130