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18064320 = 263531607
BaseRepresentation
bin100010011101…
…0001111000000
31020222202120220
41010322033000
514111024240
61443103040
7306354441
oct104721700
936882526
1018064320
11a218a9a
126071a80
133986361
1425832c8
1518bc5d0
hex113a3c0

18064320 has 112 divisors (see below), whose sum is σ = 59301888. Its totient is φ = 4654080.

The previous prime is 18064297. The next prime is 18064331. The reversal of 18064320 is 2346081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 29457 + ... + 30063.

Almost surely, 218064320 is an apocalyptic number.

18064320 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 18064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29650944).

18064320 is an abundant number, since it is smaller than the sum of its proper divisors (41237568).

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

18064320 is a wasteful number, since it uses less digits than its factorization.

18064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 18064320 is about 4250.2141122536. The cubic root of 18064320 is about 262.3859277601.

The spelling of 18064320 in words is "eighteen million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 607 620 744 930 960 992 1214 1240 1488 1821 1860 1984 2428 2480 2976 3035 3642 3720 4856 4960 5952 6070 7284 7440 9105 9712 9920 12140 14568 14880 18210 18817 19424 24280 29136 29760 36420 37634 38848 48560 56451 58272 72840 75268 94085 97120 112902 116544 145680 150536 188170 194240 225804 282255 291360 301072 376340 451608 564510 582720 602144 752680 903216 1129020 1204288 1505360 1806432 2258040 3010720 3612864 4516080 6021440 9032160 18064320