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18364080 = 2435717643
BaseRepresentation
bin100011000001…
…1011010110000
31021112222210010
41012003122300
514200122310
61453334520
7312043410
oct106033260
937488703
1018364080
11a403229
126197440
133a5c927
142620640
15192b320
hex11836b0

18364080 has 160 divisors (see below), whose sum is σ = 68995584. Its totient is φ = 3944448.

The previous prime is 18364067. The next prime is 18364091. The reversal of 18364080 is 8046381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28239 + ... + 28881.

Almost surely, 218364080 is an apocalyptic number.

18364080 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 18364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34497792).

18364080 is an abundant number, since it is smaller than the sum of its proper divisors (50631504).

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

18364080 is a wasteful number, since it uses less digits than its factorization.

18364080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18364080 is about 4285.3331259075. Note that the first 3 decimals coincide. The cubic root of 18364080 is about 263.8293203474.

The spelling of 18364080 in words is "eighteen million, three hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 643 680 714 816 840 952 1020 1190 1286 1360 1428 1680 1785 1904 1929 2040 2380 2572 2856 3215 3570 3858 4080 4501 4760 5144 5712 6430 7140 7716 9002 9520 9645 10288 10931 12860 13503 14280 15432 18004 19290 21862 22505 25720 27006 28560 30864 32793 36008 38580 43724 45010 51440 54012 54655 65586 67515 72016 76517 77160 87448 90020 108024 109310 131172 135030 153034 154320 163965 174896 180040 216048 218620 229551 262344 270060 306068 327930 360080 382585 437240 459102 524688 540120 612136 655860 765170 874480 918204 1080240 1147755 1224272 1311720 1530340 1836408 2295510 2623440 3060680 3672816 4591020 6121360 9182040 18364080