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18077072 = 2413233373
BaseRepresentation
bin100010011110…
…1010110010000
31021000102002012
41010331112100
514111431242
61443242052
7306436556
oct104752620
937012065
1018077072
11a227632
126079328
13398c0c0
142587bd6
1518c1282
hex113d590

18077072 has 40 divisors (see below), whose sum is σ = 37981944. Its totient is φ = 8285184.

The previous prime is 18077051. The next prime is 18077077. The reversal of 18077072 is 27077081.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 18011536 = 256^2 + 4244^2 .

It is not an unprimeable number, because it can be changed into a prime (18077077) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48278 + ... + 48650.

Almost surely, 218077072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18077072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990972).

18077072 is an abundant number, since it is smaller than the sum of its proper divisors (19904872).

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

18077072 is a wasteful number, since it uses less digits than its factorization.

18077072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 18077072 is about 4251.7140073152. The cubic root of 18077072 is about 262.4476545662.

Subtracting 18077072 from its reverse (27077081), we obtain a palindrome (9000009).

The spelling of 18077072 in words is "eighteen million, seventy-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 233 373 466 746 932 1492 1864 2984 3029 3728 4849 5968 6058 9698 12116 19396 24232 38792 48464 77584 86909 173818 347636 695272 1129817 1390544 2259634 4519268 9038536 18077072