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18379872 = 253471013
BaseRepresentation
bin100011000011…
…1010001100000
31021120210110000
41012013101200
514201123442
61453540000
7312140430
oct106072140
937523400
1018379872
11a414085
1261a4600
133a66b84
1426262c0
151930d4c
hex1187460

18379872 has 120 divisors (see below), whose sum is σ = 61837776. Its totient is φ = 5246208.

The previous prime is 18379847. The next prime is 18379891. The reversal of 18379872 is 27897381.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 17638 + ... + 18650.

Almost surely, 218379872 is an apocalyptic number.

18379872 is a gapful number since it is divisible by the number (12) 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 18379872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30918888).

18379872 is an abundant number, since it is smaller than the sum of its proper divisors (43457904).

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

18379872 is a wasteful number, since it uses less digits than its factorization.

18379872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1025 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 18379872 is about 4287.1752938269. The cubic root of 18379872 is about 263.9049244418.

The spelling of 18379872 in words is "eighteen million, three hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1013 1134 1296 1512 2016 2026 2268 2592 3024 3039 4052 4536 6048 6078 7091 8104 9072 9117 12156 14182 16208 18144 18234 21273 24312 27351 28364 32416 36468 42546 48624 54702 56728 63819 72936 82053 85092 97248 109404 113456 127638 145872 164106 170184 191457 218808 226912 255276 291744 328212 340368 382914 437616 510552 574371 656424 680736 765828 875232 1021104 1148742 1312848 1531656 2042208 2297484 2625696 3063312 4594968 6126624 9189936 18379872