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18099072 = 27335237
BaseRepresentation
bin100010100001…
…0101110000000
31021001112021000
41011002232000
514113132242
61443532000
7306560655
oct105025600
937045230
1018099072
11a242112
12608a000
133999114
142591c2c
1518c7a4c
hex1142b80

18099072 has 64 divisors (see below), whose sum is σ = 53427600. Its totient is φ = 6031872.

The previous prime is 18099061. The next prime is 18099131. The reversal of 18099072 is 27099081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×180990722 = 655152814522368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838 + ... + 6074.

Almost surely, 218099072 is an apocalyptic number.

18099072 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 18099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26713800).

18099072 is an abundant number, since it is smaller than the sum of its proper divisors (35328528).

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

18099072 is an equidigital number, since it uses as much as digits as its factorization.

18099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 18099072 is about 4254.3004125238. The cubic root of 18099072 is about 262.5540786542.

Subtracting 18099072 from its reverse (27099081), we obtain a palindrome (9000009).

The spelling of 18099072 in words is "eighteen million, ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5237 10474 15711 20948 31422 41896 47133 62844 83792 94266 125688 141399 167584 188532 251376 282798 335168 377064 502752 565596 670336 754128 1005504 1131192 1508256 2011008 2262384 3016512 4524768 6033024 9049536 18099072