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18210132 = 22321979337
BaseRepresentation
bin100010101110…
…1110101010100
31021021011121100
41011131311110
514130211012
61450150100
7310532523
oct105356524
937234540
1018210132
11a3085a6
126122330
133a07835
1425c04ba
1518ea8dc
hex115dd54

18210132 has 72 divisors (see below), whose sum is σ = 49212800. Its totient is φ = 5660928.

The previous prime is 18210119. The next prime is 18210139. The reversal of 18210132 is 23101281.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18210139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53868 + ... + 54204.

Almost surely, 218210132 is an apocalyptic number.

18210132 is a gapful number since it is divisible by the number (12) 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 18210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24606400).

18210132 is an abundant number, since it is smaller than the sum of its proper divisors (31002668).

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

18210132 is a wasteful number, since it uses less digits than its factorization.

18210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18210132 is about 4267.3331250325. Note that the first 3 decimals coincide. The cubic root of 18210132 is about 263.0900143433.

The spelling of 18210132 in words is "eighteen million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 228 237 316 337 342 474 674 684 711 948 1011 1348 1422 1501 2022 2844 3002 3033 4044 4503 6004 6066 6403 9006 12132 12806 13509 18012 19209 25612 26623 27018 38418 53246 54036 57627 76836 79869 106492 115254 159738 230508 239607 319476 479214 505837 958428 1011674 1517511 2023348 3035022 4552533 6070044 9105066 18210132