Search a number
-
+
14387160 = 23351131061
BaseRepresentation
bin110110111000…
…011111011000
31000001221110210
4312320133120
512140342120
61232211120
7233201034
oct66703730
930057423
1014387160
118137317
124999aa0
132c99718
141ca71c4
1513e2ce0
hexdb87d8

14387160 has 64 divisors (see below), whose sum is σ = 43584480. Its totient is φ = 3799040.

The previous prime is 14387101. The next prime is 14387173. The reversal of 14387160 is 6178341.

It is a happy number.

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

It is a congruent number.

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, 13030 + ... + 14090.

Almost surely, 214387160 is an apocalyptic number.

14387160 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 14387160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21792240).

14387160 is an abundant number, since it is smaller than the sum of its proper divisors (29197320).

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

14387160 is a wasteful number, since it uses less digits than its factorization.

14387160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 14387160 is about 3793.0409963511. The cubic root of 14387160 is about 243.2157476962.

The spelling of 14387160 in words is "fourteen million, three hundred eighty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1061 1130 1356 1695 2122 2260 2712 3183 3390 4244 4520 5305 6366 6780 8488 10610 12732 13560 15915 21220 25464 31830 42440 63660 119893 127320 239786 359679 479572 599465 719358 959144 1198930 1438716 1798395 2397860 2877432 3596790 4795720 7193580 14387160