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13918896 = 2432163593
BaseRepresentation
bin110101000110…
…001010110000
3222012011010200
4311012022300
512030401041
61214155200
7226210605
oct65061260
928164120
1013918896
117947522
1247b2b00
132b64544
141bc46ac
15134e1b6
hexd462b0

13918896 has 60 divisors (see below), whose sum is σ = 39258648. Its totient is φ = 4603392.

The previous prime is 13918889. The next prime is 13918897. The reversal of 13918896 is 69881931.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13918897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23176 + ... + 23768.

Almost surely, 213918896 is an apocalyptic number.

13918896 is a gapful number since it is divisible by the number (16) 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 13918896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629324).

13918896 is an abundant number, since it is smaller than the sum of its proper divisors (25339752).

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

13918896 is a wasteful number, since it uses less digits than its factorization.

13918896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 761 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 13918896 is about 3730.8036667721. The cubic root of 13918896 is about 240.5479148370.

The spelling of 13918896 in words is "thirteen million, nine hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 593 652 978 1186 1304 1467 1779 1956 2372 2608 2934 3558 3912 4744 5337 5868 7116 7824 9488 10674 11736 14232 21348 23472 28464 42696 85392 96659 193318 289977 386636 579954 773272 869931 1159908 1546544 1739862 2319816 3479724 4639632 6959448 13918896