Search a number
-
+
14246656 = 281929101
BaseRepresentation
bin110110010110…
…001100000000
3222210210201221
4312112030000
512121343111
61225204424
7232044304
oct66261400
928723657
1014246656
1180507a6
124930714
132c4a798
141c6bd04
1513b6371
hexd96300

14246656 has 72 divisors (see below), whose sum is σ = 31273200. Its totient is φ = 6451200.

The previous prime is 14246653. The next prime is 14246657. The reversal of 14246656 is 65664241.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14246653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141006 + ... + 141106.

It is an arithmetic number, because the mean of its divisors is an integer number (434350).

Almost surely, 214246656 is an apocalyptic number.

14246656 is a gapful number since it is divisible by the number (16) 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 14246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636600).

14246656 is an abundant number, since it is smaller than the sum of its proper divisors (17026544).

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

14246656 is a wasteful number, since it uses less digits than its factorization.

14246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 14246656 is about 3774.4742680273. The cubic root of 14246656 is about 242.4214135832.

The spelling of 14246656 in words is "fourteen million, two hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 101 116 128 152 202 232 256 304 404 464 551 608 808 928 1102 1216 1616 1856 1919 2204 2432 2929 3232 3712 3838 4408 4864 5858 6464 7424 7676 8816 11716 12928 15352 17632 23432 25856 30704 35264 46864 55651 61408 70528 93728 111302 122816 141056 187456 222604 245632 374912 445208 491264 749824 890416 1780832 3561664 7123328 14246656