Search a number
-
+
18395190 = 232511171093
BaseRepresentation
bin100011000101…
…1000000110110
31021121120110100
41012023000312
514202121230
61454134530
7312233202
oct106130066
937546410
1018395190
11a424640
1261b1446
133a70b38
14262bb02
151935660
hex118b036

18395190 has 96 divisors (see below), whose sum is σ = 55295136. Its totient is φ = 4193280.

The previous prime is 18395161. The next prime is 18395203. The reversal of 18395190 is 9159381.

It is a happy number.

It is a super-2 number, since 2×183951902 = 676766030272200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16284 + ... + 17376.

It is an arithmetic number, because the mean of its divisors is an integer number (575991).

Almost surely, 218395190 is an apocalyptic number.

18395190 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 18395190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27647568).

18395190 is an abundant number, since it is smaller than the sum of its proper divisors (36899946).

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

18395190 is a wasteful number, since it uses less digits than its factorization.

18395190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 18395190 is about 4288.9614127432. The cubic root of 18395190 is about 263.9782178998.

It can be divided in two parts, 183951 and 90, that added together give a square (184041 = 4292).

The spelling of 18395190 in words is "eighteen million, three hundred ninety-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1093 1122 1530 1683 1870 2186 2805 3279 3366 5465 5610 6558 8415 9837 10930 12023 16395 16830 18581 19674 24046 32790 36069 37162 49185 55743 60115 72138 92905 98370 108207 111486 120230 167229 180345 185810 204391 216414 278715 334458 360690 408782 541035 557430 613173 836145 1021955 1082070 1226346 1672290 1839519 2043910 3065865 3679038 6131730 9197595 18395190