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18382240 = 255114889
BaseRepresentation
bin100011000011…
…1110110100000
31021120220200201
41012013312200
514201212430
61453554544
7312150352
oct106076640
937526621
1018382240
11a415938
1261a5a54
133a67c86
1426270d2
1519318ca
hex1187da0

18382240 has 24 divisors (see below), whose sum is σ = 43428420. Its totient is φ = 7352832.

The previous prime is 18382223. The next prime is 18382261. The reversal of 18382240 is 4228381.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 29584 = 4284^2 + 172^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18382199 and 18382208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57285 + ... + 57604.

Almost surely, 218382240 is an apocalyptic number.

18382240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18382240 is an abundant number, since it is smaller than the sum of its proper divisors (25046180).

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

18382240 is a wasteful number, since it uses less digits than its factorization.

18382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114904 (or 114896 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 18382240 is about 4287.4514574512. The cubic root of 18382240 is about 263.9162574918.

The spelling of 18382240 in words is "eighteen million, three hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 114889 229778 459556 574445 919112 1148890 1838224 2297780 3676448 4595560 9191120 18382240