Search a number
-
+
14260680 = 2332575659
BaseRepresentation
bin110110011001…
…100111001000
3222211111222100
4312121213020
512122320210
61225353400
7232133220
oct66314710
928744870
1014260680
118060295
124938860
132c53c95
141c73080
1513ba5c0
hexd999c8

14260680 has 96 divisors (see below), whose sum is σ = 52977600. Its totient is φ = 3259008.

The previous prime is 14260679. The next prime is 14260681. The reversal of 14260680 is 8606241.

14260680 is digitally balanced in base 2, because in such base 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 (14260679) and next prime (14260681).

It is not an unprimeable number, because it can be changed into a prime (14260681) 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, 310 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (551850).

Almost surely, 214260680 is an apocalyptic number.

14260680 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 14260680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26488800).

14260680 is an abundant number, since it is smaller than the sum of its proper divisors (38716920).

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

14260680 is a wasteful number, since it uses less digits than its factorization.

14260680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14260680 is about 3776.3315532405. The cubic root of 14260680 is about 242.5009317284.

The spelling of 14260680 in words is "fourteen million, two hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5659 11318 16977 22636 28295 33954 39613 45272 50931 56590 67908 79226 84885 101862 113180 118839 135816 158452 169770 198065 203724 226360 237678 254655 316904 339540 356517 396130 407448 475356 509310 594195 679080 713034 792260 950712 1018620 1188390 1426068 1584520 1782585 2037240 2376780 2852136 3565170 4753560 7130340 14260680