Search a number
-
+
14164960 = 255223397
BaseRepresentation
bin110110000010…
…001111100000
3222122122200011
4312002033200
512111234320
61223334304
7231254155
oct66021740
928578604
1014164960
117aa5387
1248b1394
132c1c544
141c4a22c
15139c05a
hexd823e0

14164960 has 48 divisors (see below), whose sum is σ = 33699456. Its totient is φ = 5626368.

The previous prime is 14164957. The next prime is 14164979. The reversal of 14164960 is 6946141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35482 + ... + 35878.

It is an arithmetic number, because the mean of its divisors is an integer number (702072).

Almost surely, 214164960 is an apocalyptic number.

14164960 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 14164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849728).

14164960 is an abundant number, since it is smaller than the sum of its proper divisors (19534496).

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

14164960 is a wasteful number, since it uses less digits than its factorization.

14164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 14164960 is about 3763.6365393061. The cubic root of 14164960 is about 241.9571447005.

The spelling of 14164960 in words is "fourteen million, one hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 397 446 794 892 1115 1588 1784 1985 2230 3176 3568 3970 4460 6352 7136 7940 8920 12704 15880 17840 31760 35680 63520 88531 177062 354124 442655 708248 885310 1416496 1770620 2832992 3541240 7082480 14164960