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18630690 = 23513233167
BaseRepresentation
bin100011100010…
…0100000100010
31022001112111120
41013010200202
514232140230
61503153110
7314233611
oct107044042
938045446
1018630690
11a575571
1262a5796
133b240a0
14268d878
151980310
hex11c4822

18630690 has 128 divisors (see below), whose sum is σ = 52641792. Its totient is φ = 4181760.

The previous prime is 18630683. The next prime is 18630709. The reversal of 18630690 is 9603681.

It is a super-2 number, since 2×186306902 = 694205219752200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278037 + ... + 278103.

It is an arithmetic number, because the mean of its divisors is an integer number (411264).

Almost surely, 218630690 is an apocalyptic number.

18630690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18630690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26320896).

18630690 is an abundant number, since it is smaller than the sum of its proper divisors (34011102).

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

18630690 is a wasteful number, since it uses less digits than its factorization.

18630690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 18630690 is about 4316.3283007668. The cubic root of 18630690 is about 265.0999504302.

It can be divided in two parts, 186 and 30690, that added together give a triangular number (30876 = T248).

The spelling of 18630690 in words is "eighteen million, six hundred thirty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 31 39 46 62 65 67 69 78 93 115 130 134 138 155 186 195 201 230 299 310 335 345 390 402 403 465 598 670 690 713 806 871 897 930 1005 1209 1426 1495 1541 1742 1794 2010 2015 2077 2139 2418 2613 2990 3082 3565 4030 4154 4278 4355 4485 4623 5226 6045 6231 7130 7705 8710 8970 9246 9269 10385 10695 12090 12462 13065 15410 18538 20033 20770 21390 23115 26130 27001 27807 31155 40066 46230 46345 47771 54002 55614 60099 62310 81003 92690 95542 100165 120198 135005 139035 143313 162006 200330 238855 270010 278070 286626 300495 405015 477710 600990 621023 716565 810030 1242046 1433130 1863069 3105115 3726138 6210230 9315345 18630690