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18918540 = 22325611723
BaseRepresentation
bin100100000101…
…0110010001100
31022121011100200
41020022302030
514320343130
61513253500
7316543044
oct110126214
938534320
1018918540
11a751863
126404290
133bc5104
142726724
1519da760
hex120ac8c

18918540 has 72 divisors (see below), whose sum is σ = 58360848. Its totient is φ = 4959360.

The previous prime is 18918539. The next prime is 18918551. The reversal of 18918540 is 4581981.

It is a super-2 number, since 2×189185402 = 715822311463200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18918495 and 18918504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10119 + ... + 11841.

Almost surely, 218918540 is an apocalyptic number.

18918540 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 18918540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29180424).

18918540 is an abundant number, since it is smaller than the sum of its proper divisors (39442308).

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

18918540 is a wasteful number, since it uses less digits than its factorization.

18918540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 18918540 is about 4349.5448037697. The cubic root of 18918540 is about 266.4582712127.

It can be divided in two parts, 189185 and 40, that added together give a square (189225 = 4352).

The spelling of 18918540 in words is "eighteen million, nine hundred eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1723 1830 2196 2745 3446 3660 5169 5490 6892 8615 10338 10980 15507 17230 20676 25845 31014 34460 51690 62028 77535 103380 105103 155070 210206 310140 315309 420412 525515 630618 945927 1051030 1261236 1576545 1891854 2102060 3153090 3783708 4729635 6306180 9459270 18918540