Search a number
-
+
14126376 = 2331173733
BaseRepresentation
bin110101111000…
…110100101000
3222120200202010
4311320310220
512104021001
61222435520
7231033525
oct65706450
928520663
1014126376
117a793a0
124892ba0
132c07b04
141c3a14c
1513908d6
hexd78d28

14126376 has 64 divisors (see below), whose sum is σ = 39107520. Its totient is φ = 4216320.

The previous prime is 14126369. The next prime is 14126383. The reversal of 14126376 is 67362141.

14126376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14126369) and next prime (14126383).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18906 + ... + 19638.

It is an arithmetic number, because the mean of its divisors is an integer number (611055).

Almost surely, 214126376 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 14126376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19553760).

14126376 is an abundant number, since it is smaller than the sum of its proper divisors (24981144).

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

14126376 is a wasteful number, since it uses less digits than its factorization.

14126376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

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

The square root of 14126376 is about 3758.5071504522. The cubic root of 14126376 is about 241.7372555323.

The spelling of 14126376 in words is "fourteen million, one hundred twenty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 733 803 876 1466 1606 1752 2199 2409 2932 3212 4398 4818 5864 6424 8063 8796 9636 16126 17592 19272 24189 32252 48378 53509 64504 96756 107018 160527 193512 214036 321054 428072 588599 642108 1177198 1284216 1765797 2354396 3531594 4708792 7063188 14126376