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18240120 = 2333516889
BaseRepresentation
bin100010110010…
…1001001111000
31021022200202000
41011211021320
514132140440
61450541000
7311016123
oct105451170
937280660
1018240120
11a329088
126137760
133a18392
1425cb3ba
151904730
hex1165278

18240120 has 64 divisors (see below), whose sum is σ = 60804000. Its totient is φ = 4863744.

The previous prime is 18240119. The next prime is 18240137. The reversal of 18240120 is 2104281.

It is a super-2 number, since 2×182401202 = 665403955228800, which contains 22 as substring.

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 = 18240093 and 18240102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7365 + ... + 9524.

Almost surely, 218240120 is an apocalyptic number.

18240120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18240120 is an abundant number, since it is smaller than the sum of its proper divisors (42563880).

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

18240120 is a wasteful number, since it uses less digits than its factorization.

18240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16909 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18240120 is about 4270.8453495766. The cubic root of 18240120 is about 263.2343518754.

The spelling of 18240120 in words is "eighteen million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 16889 33778 50667 67556 84445 101334 135112 152001 168890 202668 253335 304002 337780 405336 456003 506670 608004 675560 760005 912006 1013340 1216008 1520010 1824012 2026680 2280015 3040020 3648024 4560030 6080040 9120060 18240120