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18661356 = 22327271149
BaseRepresentation
bin100011100101…
…1111111101100
31022010002120100
41013023333230
514234130411
61503551100
7314422200
oct107137754
938102510
1018661356
11a59660a
1262bb490
133b3502c
14269ab00
151989456
hex11cbfec

18661356 has 108 divisors (see below), whose sum is σ = 56019600. Its totient is φ = 5221440.

The previous prime is 18661339. The next prime is 18661369. The reversal of 18661356 is 65316681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18661356.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125170 + ... + 125318.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 218661356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18661356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009800).

18661356 is an abundant number, since it is smaller than the sum of its proper divisors (37358244).

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

18661356 is a wasteful number, since it uses less digits than its factorization.

18661356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 18661356 is about 4319.8791649767. The cubic root of 18661356 is about 265.2453216565.

The spelling of 18661356 in words is "eighteen million, six hundred sixty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 71 84 98 126 142 147 149 196 213 252 284 294 298 426 441 447 497 588 596 639 852 882 894 994 1043 1278 1341 1491 1764 1788 1988 2086 2556 2682 2982 3129 3479 4172 4473 5364 5964 6258 6958 7301 8946 9387 10437 10579 12516 13916 14602 17892 18774 20874 21158 21903 29204 31311 31737 37548 41748 42316 43806 62622 63474 65709 74053 87612 95211 125244 126948 131418 148106 190422 222159 262836 296212 380844 444318 518371 666477 888636 1036742 1332954 1555113 2073484 2665908 3110226 4665339 6220452 9330678 18661356