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18242820 = 2234511261
BaseRepresentation
bin100010110010…
…1110100000100
31021022211110000
41011211310010
514132232240
61451001300
7311030031
oct105456404
937284400
1018242820
11a330112
126139230
133a1968b
1425cc388
151905430
hex1165d04

18242820 has 60 divisors (see below), whose sum is σ = 57233484. Its totient is φ = 4864320.

The previous prime is 18242803. The next prime is 18242837. The reversal of 18242820 is 2824281.

It is an interprime number because it is at equal distance from previous prime (18242803) and next prime (18242837).

It can be written as a sum of positive squares in 2 ways, for example, as 13883076 + 4359744 = 3726^2 + 2088^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4011 + ... + 7250.

Almost surely, 218242820 is an apocalyptic number.

18242820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18242820 is an abundant number, since it is smaller than the sum of its proper divisors (38990664).

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

18242820 is a wasteful number, since it uses less digits than its factorization.

18242820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18242820 is about 4271.1614345515. The cubic root of 18242820 is about 263.2473396863.

The spelling of 18242820 in words is "eighteen million, two hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 11261 22522 33783 45044 56305 67566 101349 112610 135132 168915 202698 225220 304047 337830 405396 506745 608094 675660 912141 1013490 1216188 1520235 1824282 2026980 3040470 3648564 4560705 6080940 9121410 18242820