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18108672 = 283171973
BaseRepresentation
bin100010100010…
…1000100000000
31021002000102120
41011011010000
514113434142
61444044240
7306630651
oct105050400
937060376
1018108672
11a24934a
126093680
1339a05ba
142595528
1518ca7ec
hex1145100

18108672 has 144 divisors (see below), whose sum is σ = 54452160. Its totient is φ = 5308416.

The previous prime is 18108667. The next prime is 18108697. The reversal of 18108672 is 27680181.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 248028 + ... + 248100.

It is an arithmetic number, because the mean of its divisors is an integer number (378140).

Almost surely, 218108672 is an apocalyptic number.

18108672 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 18108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27226080).

18108672 is an abundant number, since it is smaller than the sum of its proper divisors (36343488).

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

18108672 is a wasteful number, since it uses less digits than its factorization.

18108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 18108672 is about 4255.4285330622. The cubic root of 18108672 is about 262.6004912299.

The spelling of 18108672 in words is "eighteen million, one hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 73 76 96 102 114 128 136 146 152 192 204 219 228 256 272 292 304 323 384 408 438 456 544 584 608 646 768 816 876 912 969 1088 1168 1216 1241 1292 1387 1632 1752 1824 1938 2176 2336 2432 2482 2584 2774 3264 3504 3648 3723 3876 4161 4352 4672 4864 4964 5168 5548 6528 7008 7296 7446 7752 8322 9344 9928 10336 11096 13056 14016 14592 14892 15504 16644 18688 19856 20672 22192 23579 28032 29784 31008 33288 39712 41344 44384 47158 56064 59568 62016 66576 70737 79424 82688 88768 94316 119136 124032 133152 141474 158848 177536 188632 238272 248064 266304 282948 317696 355072 377264 476544 532608 565896 754528 953088 1065216 1131792 1509056 2263584 3018112 4527168 6036224 9054336 18108672