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13214376 = 23327157167
BaseRepresentation
bin110010011010…
…001010101000
3220212100201100
4302122022220
511340330001
61151121400
7220214610
oct62321250
926770640
1013214376
11750617a
124513260
132978976
141a7da40
151260586
hexc9a2a8

13214376 has 96 divisors (see below), whose sum is σ = 41408640. Its totient is φ = 3729024.

The previous prime is 13214371. The next prime is 13214413. The reversal of 13214376 is 67341231.

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

Its product of digits (3024) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79045 + ... + 79211.

It is an arithmetic number, because the mean of its divisors is an integer number (431340).

Almost surely, 213214376 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 13214376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704320).

13214376 is an abundant number, since it is smaller than the sum of its proper divisors (28194264).

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

13214376 is a wasteful number, since it uses less digits than its factorization.

13214376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13214376 is about 3635.1583184230. The cubic root of 13214376 is about 236.4189150608.

The spelling of 13214376 in words is "thirteen million, two hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 167 168 252 314 334 471 501 504 628 668 942 1002 1099 1169 1256 1336 1413 1503 1884 2004 2198 2338 2826 3006 3297 3507 3768 4008 4396 4676 5652 6012 6594 7014 8792 9352 9891 10521 11304 12024 13188 14028 19782 21042 26219 26376 28056 39564 42084 52438 78657 79128 84168 104876 157314 183533 209752 235971 314628 367066 471942 550599 629256 734132 943884 1101198 1468264 1651797 1887768 2202396 3303594 4404792 6607188 13214376