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18672912 = 2432314789
BaseRepresentation
bin100011100111…
…0110100010000
31022010200102100
41013032310100
514240013122
61504120400
7314500656
oct107166420
938120370
1018672912
11a5a4265
126306100
133b3a37b
1426a0dd6
15198caac
hex11ced10

18672912 has 120 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 5829120.

The previous prime is 18672859. The next prime is 18672923. The reversal of 18672912 is 21927681.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 209764 + ... + 209852.

It is an arithmetic number, because the mean of its divisors is an integer number (464256).

Almost surely, 218672912 is an apocalyptic number.

18672912 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 18672912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

18672912 is an abundant number, since it is smaller than the sum of its proper divisors (37037808).

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

18672912 is a wasteful number, since it uses less digits than its factorization.

18672912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 18672912 is about 4321.2164953865. The cubic root of 18672912 is about 265.3000612023.

The spelling of 18672912 in words is "eighteen million, six hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 47 48 62 72 89 93 94 124 141 144 178 186 188 248 267 279 282 356 372 376 423 496 534 558 564 712 744 752 801 846 1068 1116 1128 1424 1457 1488 1602 1692 2136 2232 2256 2759 2914 3204 3384 4183 4272 4371 4464 5518 5828 6408 6768 8277 8366 8742 11036 11656 12549 12816 13113 16554 16732 17484 22072 23312 24831 25098 26226 33108 33464 34968 37647 44144 49662 50196 52452 66216 66928 69936 75294 99324 100392 104904 129673 132432 150588 198648 200784 209808 259346 301176 389019 397296 518692 602352 778038 1037384 1167057 1556076 2074768 2334114 3112152 4668228 6224304 9336456 18672912