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18780138 = 23213174721
BaseRepresentation
bin100011110100…
…0111111101010
31022100010111200
41013220333222
514301431023
61510305030
7315425406
oct107507752
938303450
1018780138
11a667883
126358176
133b77110
1426cc106
1519ae743
hex11e8fea

18780138 has 48 divisors (see below), whose sum is σ = 46407816. Its totient is φ = 5437440.

The previous prime is 18780137. The next prime is 18780149. The reversal of 18780138 is 83108781.

It can be written as a sum of positive squares in 4 ways, for example, as 15657849 + 3122289 = 3957^2 + 1767^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18780137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1618 + ... + 6338.

Almost surely, 218780138 is an apocalyptic number.

18780138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18780138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23203908).

18780138 is an abundant number, since it is smaller than the sum of its proper divisors (27627678).

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

18780138 is a wasteful number, since it uses less digits than its factorization.

18780138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 18780138 is about 4333.6056581097. The cubic root of 18780138 is about 265.8069056732.

The spelling of 18780138 in words is "eighteen million, seven hundred eighty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 4721 9442 14163 28326 42489 61373 80257 84978 122746 160514 184119 240771 368238 481542 552357 722313 1043341 1104714 1444626 2086682 3130023 6260046 9390069 18780138