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18993132 = 22321373851
BaseRepresentation
bin100100001110…
…0111111101100
31022201221200100
41020130333230
514330240012
61515031100
7320303364
oct110347754
938657610
1018993132
11a7a2904
12643b490
133c20052
1427459a4
151a028dc
hex121cfec

18993132 has 36 divisors (see below), whose sum is σ = 48373416. Its totient is φ = 6283200.

The previous prime is 18993119. The next prime is 18993181. The reversal of 18993132 is 23139981.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3007 + ... + 6857.

It is an arithmetic number, because the mean of its divisors is an integer number (1343706).

Almost surely, 218993132 is an apocalyptic number.

18993132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18993132 is an abundant number, since it is smaller than the sum of its proper divisors (29380284).

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

18993132 is a wasteful number, since it uses less digits than its factorization.

18993132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3993 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 18993132 is about 4358.1110587042. Note that the first 3 decimals coincide. The cubic root of 18993132 is about 266.8080090982.

The spelling of 18993132 in words is "eighteen million, nine hundred ninety-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 3851 4932 7702 11553 15404 23106 34659 46212 69318 138636 527587 1055174 1582761 2110348 3165522 4748283 6331044 9496566 18993132