Search a number
-
+
13668912 = 243453199
BaseRepresentation
bin110100001001…
…001000110000
3221201110020000
4310021020300
511444401122
61204550000
7224120025
oct64111060
927643200
1013668912
117796724
1246b2300
132aa781a
141b5b54c
1513000ac
hexd09230

13668912 has 100 divisors (see below), whose sum is σ = 40510800. Its totient is φ = 4447872.

The previous prime is 13668911. The next prime is 13668913. The reversal of 13668912 is 21986631.

It is an interprime number because it is at equal distance from previous prime (13668911) and next prime (13668913).

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

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 (13668911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68589 + ... + 68787.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 213668912 is an apocalyptic number.

13668912 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 13668912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400).

13668912 is an abundant number, since it is smaller than the sum of its proper divisors (26841888).

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

13668912 is a wasteful number, since it uses less digits than its factorization.

13668912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13668912 is about 3697.1491719973. The cubic root of 13668912 is about 239.0991226478.

The spelling of 13668912 in words is "thirteen million, six hundred sixty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 199 212 216 318 324 398 424 432 477 597 636 648 796 848 954 1194 1272 1296 1431 1592 1791 1908 2388 2544 2862 3184 3582 3816 4293 4776 5373 5724 7164 7632 8586 9552 10547 10746 11448 14328 16119 17172 21094 21492 22896 28656 31641 32238 34344 42188 42984 63282 64476 68688 84376 85968 94923 126564 128952 168752 189846 253128 257904 284769 379692 506256 569538 759384 854307 1139076 1518768 1708614 2278152 3417228 4556304 6834456 13668912