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18013032 = 2332475323
BaseRepresentation
bin100010010110…
…1101101101000
31020220011020100
41010231231220
514102404112
61442025400
7306052062
oct104555550
936804210
1018013032
11a193504
126048260
133968bcb
14256c732
1518ac2dc
hex112db68

18013032 has 48 divisors (see below), whose sum is σ = 49832640. Its totient is φ = 5875488.

The previous prime is 18013003. The next prime is 18013049. The reversal of 18013032 is 23031081.

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

It is a junction number, because it is equal to n+sod(n) for n = 18012996 and 18013014.

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, 723 + ... + 6045.

It is an arithmetic number, because the mean of its divisors is an integer number (1038180).

Almost surely, 218013032 is an apocalyptic number.

18013032 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 18013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24916320).

18013032 is an abundant number, since it is smaller than the sum of its proper divisors (31819608).

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

18013032 is a wasteful number, since it uses less digits than its factorization.

18013032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 18013032 is about 4244.1762451623. The cubic root of 18013032 is about 262.1373713890.

The spelling of 18013032 in words is "eighteen million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 5323 10646 15969 21292 31938 42584 47907 63876 95814 127752 191628 250181 383256 500362 750543 1000724 1501086 2001448 2251629 3002172 4503258 6004344 9006516 18013032