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18868136 = 2372127379
BaseRepresentation
bin100011111111…
…0011110101000
31022111121012212
41013332132220
514312240021
61512224252
7316243100
oct107763650
938447185
1018868136
11a717a01
12639b088
133ba81a1
142712200
1519ca85b
hex11fe7a8

18868136 has 48 divisors (see below), whose sum is σ = 41587200. Its totient is φ = 8001504.

The previous prime is 18868133. The next prime is 18868139. The reversal of 18868136 is 63186881.

It is an interprime number because it is at equal distance from previous prime (18868133) and next prime (18868139).

It is a super-2 number, since 2×188681362 = 712013112228992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18868093 and 18868102.

It is not an unprimeable number, because it can be changed into a prime (18868133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49595 + ... + 49973.

It is an arithmetic number, because the mean of its divisors is an integer number (866400).

Almost surely, 218868136 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 18868136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20793600).

18868136 is an abundant number, since it is smaller than the sum of its proper divisors (22719064).

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

18868136 is a wasteful number, since it uses less digits than its factorization.

18868136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 18868136 is about 4343.7467697830. The cubic root of 18868136 is about 266.2214222819.

The spelling of 18868136 in words is "eighteen million, eight hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 254 379 392 508 758 889 1016 1516 1778 2653 3032 3556 5306 6223 7112 10612 12446 18571 21224 24892 37142 48133 49784 74284 96266 148568 192532 336931 385064 673862 1347724 2358517 2695448 4717034 9434068 18868136