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18275040 = 253257337
BaseRepresentation
bin100010110110…
…1101011100000
31021101110122100
41011231223200
514134300130
61451410400
7311223000
oct105555340
937343570
1018275040
11a352343
126153a00
133a2b244
1425da000
15190ec60
hex116dae0

18275040 has 288 divisors, whose sum is σ = 74692800. Its totient is φ = 4064256.

The previous prime is 18275029. The next prime is 18275069. The reversal of 18275040 is 4057281.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×182750403 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18274995 and 18275013.

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, 493902 + ... + 493938.

It is an arithmetic number, because the mean of its divisors is an integer number (259350).

Almost surely, 218275040 is an apocalyptic number.

18275040 is a gapful number since it is divisible by the number (10) 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 18275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346400).

18275040 is an abundant number, since it is smaller than the sum of its proper divisors (56417760).

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

18275040 is a wasteful number, since it uses less digits than its factorization.

18275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18275040 is about 4274.9315783998. The cubic root of 18275040 is about 263.4022287644.

The spelling of 18275040 in words is "eighteen million, two hundred seventy-five thousand, forty".