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18257040 = 2432525357
BaseRepresentation
bin100010110100…
…1010010010000
31021100112221200
41011221102100
514133211130
61451151200
7311116344
oct105512220
937315850
1018257040
11a33a86a
126145500
133a22ca9
1425d3624
151909760
hex1169490

18257040 has 60 divisors (see below), whose sum is σ = 61315644. Its totient is φ = 4868352.

The previous prime is 18257039. The next prime is 18257051. The reversal of 18257040 is 4075281.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 12027024 = 2496^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×182570404 (a number of 30 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18256995 and 18257013.

It is a congruent number.

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, 11959 + ... + 13398.

Almost surely, 218257040 is an apocalyptic number.

18257040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18257040 is an abundant number, since it is smaller than the sum of its proper divisors (43058604).

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

18257040 is a wasteful number, since it uses less digits than its factorization.

18257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25376 (or 25367 counting only the distinct ones).

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

The square root of 18257040 is about 4272.8257628881. The cubic root of 18257040 is about 263.3157210176.

The spelling of 18257040 in words is "eighteen million, two hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 25357 50714 76071 101428 126785 152142 202856 228213 253570 304284 380355 405712 456426 507140 608568 760710 912852 1014280 1141065 1217136 1521420 1825704 2028560 2282130 3042840 3651408 4564260 6085680 9128520 18257040