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18460980 = 22335172011
BaseRepresentation
bin100011001101…
…1000100110100
31021201220201000
41012123010310
514211222410
61455403300
7312626046
oct106330464
937656630
1018460980
11a46a00a
126223530
133a94a75
142647a96
151949dc0
hex119b134

18460980 has 96 divisors (see below), whose sum is σ = 60842880. Its totient is φ = 4631040.

The previous prime is 18460969. The next prime is 18460987. The reversal of 18460980 is 8906481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18460987) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8175 + ... + 10185.

It is an arithmetic number, because the mean of its divisors is an integer number (633780).

Almost surely, 218460980 is an apocalyptic number.

18460980 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 18460980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30421440).

18460980 is an abundant number, since it is smaller than the sum of its proper divisors (42381900).

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

18460980 is a wasteful number, since it uses less digits than its factorization.

18460980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18460980 is about 4296.6242563203. The cubic root of 18460980 is about 264.2925475989.

The spelling of 18460980 in words is "eighteen million, four hundred sixty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2011 2295 3060 4022 4590 6033 8044 9180 10055 12066 18099 20110 24132 30165 34187 36198 40220 54297 60330 68374 72396 90495 102561 108594 120660 136748 170935 180990 205122 217188 271485 307683 341870 361980 410244 512805 542970 615366 683740 923049 1025610 1085940 1230732 1538415 1846098 2051220 3076830 3692196 4615245 6153660 9230490 18460980