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18103272 = 23311471459
BaseRepresentation
bin100010100001…
…1101111101000
31021001202000120
41011003233220
514113301042
61444003240
7306606135
oct105035750
937052016
1018103272
11a245290
126090520
13399acc5
14259358c
1518c8dec
hex1143be8

18103272 has 64 divisors (see below), whose sum is σ = 50457600. Its totient is φ = 5365440.

The previous prime is 18103271. The next prime is 18103273. The reversal of 18103272 is 27230181.

It is an interprime number because it is at equal distance from previous prime (18103271) and next prime (18103273).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18103271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11679 + ... + 13137.

It is an arithmetic number, because the mean of its divisors is an integer number (788400).

Almost surely, 218103272 is an apocalyptic number.

18103272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18103272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25228800).

18103272 is an abundant number, since it is smaller than the sum of its proper divisors (32354328).

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

18103272 is a wasteful number, since it uses less digits than its factorization.

18103272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 18103272 is about 4254.7940020640. The cubic root of 18103272 is about 262.5743861750.

The spelling of 18103272 in words is "eighteen million, one hundred three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1459 1551 2068 2918 3102 4136 4377 5836 6204 8754 11672 12408 16049 17508 32098 35016 48147 64196 68573 96294 128392 137146 192588 205719 274292 385176 411438 548584 754303 822876 1508606 1645752 2262909 3017212 4525818 6034424 9051636 18103272