Search a number
-
+
14621376 = 2637112343
BaseRepresentation
bin110111110001…
…101011000000
31000111211202110
4313301223000
512220341001
61241215320
7235164630
oct67615300
930454673
1014621376
118287290
124a91540
13304c203
141d286c0
15143c3d6
hexdf1ac0

14621376 has 224 divisors, whose sum is σ = 51499008. Its totient is φ = 3548160.

The previous prime is 14621359. The next prime is 14621381. The reversal of 14621376 is 67312641.

14621376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×146213762 = 427569272266752, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340011 + ... + 340053.

Almost surely, 214621376 is an apocalyptic number.

14621376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14621376 is the 2208-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14621376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25749504).

14621376 is an abundant number, since it is smaller than the sum of its proper divisors (36877632).

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

14621376 is a wasteful number, since it uses less digits than its factorization.

14621376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 14621376 is about 3823.7907892561. The cubic root of 14621376 is about 244.5284613553.

The spelling of 14621376 in words is "fourteen million, six hundred twenty-one thousand, three hundred seventy-six".