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14263680 = 2735171923
BaseRepresentation
bin110110011010…
…010110000000
3222211200002110
4312122112000
512122414210
61225415320
7232145034
oct66322600
928750073
1014263680
118062572
12493a540
132c55462
141c741c4
1513bb420
hexd9a580

14263680 has 256 divisors, whose sum is σ = 52876800. Its totient is φ = 3244032.

The previous prime is 14263649. The next prime is 14263681. The reversal of 14263680 is 8636241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14263681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620149 + ... + 620171.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 214263680 is an apocalyptic number.

14263680 is a gapful number since it is divisible by the number (10) 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 14263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

14263680 is an abundant number, since it is smaller than the sum of its proper divisors (38613120).

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

14263680 is a wasteful number, since it uses less digits than its factorization.

14263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 14263680 is about 3776.7287432380. The cubic root of 14263680 is about 242.5179354007.

The spelling of 14263680 in words is "fourteen million, two hundred sixty-three thousand, six hundred eighty".