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18138880 = 28537383
BaseRepresentation
bin100010100110…
…0011100000000
31021010112212101
41011030130000
514120421010
61444440144
7310115014
oct105143400
937115771
1018138880
11a26a011
1260a9054
1339b1286
1425a2544
1518d473a
hex114c700

18138880 has 72 divisors (see below), whose sum is σ = 44739072. Its totient is φ = 7041024.

The previous prime is 18138871. The next prime is 18138919. The reversal of 18138880 is 8883181.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 47169 + ... + 47551.

It is an arithmetic number, because the mean of its divisors is an integer number (621376).

Almost surely, 218138880 is an apocalyptic number.

18138880 is a gapful number since it is divisible by the number (10) 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 18138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22369536).

18138880 is an abundant number, since it is smaller than the sum of its proper divisors (26600192).

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

18138880 is an equidigital number, since it uses as much as digits as its factorization.

18138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 18138880 is about 4258.9764028461. The cubic root of 18138880 is about 262.7464292051.

The spelling of 18138880 in words is "eighteen million, one hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 383 592 640 740 766 1184 1280 1480 1532 1915 2368 2960 3064 3830 4736 5920 6128 7660 9472 11840 12256 14171 15320 23680 24512 28342 30640 47360 49024 56684 61280 70855 98048 113368 122560 141710 226736 245120 283420 453472 490240 566840 906944 1133680 1813888 2267360 3627776 4534720 9069440 18138880