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18219072 = 263313061
BaseRepresentation
bin100010110000…
…0000001000000
31021021121212110
41011200001000
514131002242
61450255320
7310600554
oct105400100
937247773
1018219072
11a314293
126127540
133a0b921
1425c3864
1518ed39c
hex1160040

18219072 has 56 divisors (see below), whose sum is σ = 49775872. Its totient is φ = 5875200.

The previous prime is 18219037. The next prime is 18219077. The reversal of 18219072 is 27091281.

It is not an unprimeable number, because it can be changed into a prime (18219077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4422 + ... + 7482.

Almost surely, 218219072 is an apocalyptic number.

18219072 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 18219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24887936).

18219072 is an abundant number, since it is smaller than the sum of its proper divisors (31556800).

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

18219072 is a wasteful number, since it uses less digits than its factorization.

18219072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 18219072 is about 4268.3804891317. The cubic root of 18219072 is about 263.1330607077.

The spelling of 18219072 in words is "eighteen million, two hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 3061 5952 6122 9183 12244 18366 24488 36732 48976 73464 94891 97952 146928 189782 195904 284673 293856 379564 569346 587712 759128 1138692 1518256 2277384 3036512 4554768 6073024 9109536 18219072