Search a number
-
+
18738420 = 22351718371
BaseRepresentation
bin100011101111…
…0110011110100
31022021000021120
41013132303310
514244112140
61505343540
7315162651
oct107366364
938230246
1018738420
11a6394a8
126337bb0
133b6112c
1426bac28
1519a21d0
hex11decf4

18738420 has 48 divisors (see below), whose sum is σ = 55556928. Its totient is φ = 4702720.

The previous prime is 18738373. The next prime is 18738439. The reversal of 18738420 is 2483781.

It is a super-2 number, since 2×187384202 = 702256768192800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8166 + ... + 10205.

It is an arithmetic number, because the mean of its divisors is an integer number (1157436).

Almost surely, 218738420 is an apocalyptic number.

18738420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18738420 is an abundant number, since it is smaller than the sum of its proper divisors (36818508).

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

18738420 is a wasteful number, since it uses less digits than its factorization.

18738420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18400 (or 18398 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 18738420 is about 4328.7896691801. The cubic root of 18738420 is about 265.6099395383.

The spelling of 18738420 in words is "eighteen million, seven hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 18371 36742 55113 73484 91855 110226 183710 220452 275565 312307 367420 551130 624614 936921 1102260 1249228 1561535 1873842 3123070 3747684 4684605 6246140 9369210 18738420