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18955136 = 271731281
BaseRepresentation
bin100100001001…
…1101110000000
31022200000120002
41020103232000
514323031021
61514135132
7320054534
oct110235600
938600502
1018955136
11a777302
1264214a8
133c08975
142735bc4
1519e650b
hex1213b80

18955136 has 64 divisors (see below), whose sum is σ = 41420160. Its totient is φ = 8601600.

The previous prime is 18955127. The next prime is 18955163. The reversal of 18955136 is 63155981.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18955136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67316 + ... + 67596.

It is an arithmetic number, because the mean of its divisors is an integer number (647190).

Almost surely, 218955136 is an apocalyptic number.

18955136 is a gapful number since it is divisible by the number (16) 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 18955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710080).

18955136 is an abundant number, since it is smaller than the sum of its proper divisors (22465024).

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

18955136 is a wasteful number, since it uses less digits than its factorization.

18955136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its digits is 32400, while the sum is 38.

The square root of 18955136 is about 4353.7496482917. The cubic root of 18955136 is about 266.6299727288.

It can be divided in two parts, 18955 and 136, that added together give a palindrome (19091).

The spelling of 18955136 in words is "eighteen million, nine hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 281 496 527 544 562 992 1054 1088 1124 1984 2108 2176 2248 3968 4216 4496 4777 8432 8711 8992 9554 16864 17422 17984 19108 33728 34844 35968 38216 67456 69688 76432 139376 148087 152864 278752 296174 305728 557504 592348 611456 1115008 1184696 2369392 4738784 9477568 18955136