Search a number
-
+
14289616 = 2411461
BaseRepresentation
bin110110100000…
…101011010000
3222212222200001
4312200223100
512124231431
61230135344
7232313455
oct66405320
928788601
1014289616
118080000
124951554
132c641c3
141c7d82c
1513c3e61
hexda0ad0

14289616 has 50 divisors (see below), whose sum is σ = 30953810. Its totient is φ = 6388800.

The previous prime is 14289563. The next prime is 14289619. The reversal of 14289616 is 61698241.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 5856400 = 2904^2 + 2420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14289619) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 234226 + ... + 234286.

Almost surely, 214289616 is an apocalyptic number.

14289616 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 14289616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476905).

14289616 is an abundant number, since it is smaller than the sum of its proper divisors (16664194).

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

14289616 is an frugal number, since it uses more digits than its factorization.

14289616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 74 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 14289616 is about 3780.1608431388. The cubic root of 14289616 is about 242.6648385055.

The spelling of 14289616 in words is "fourteen million, two hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 61 88 121 122 176 242 244 484 488 671 968 976 1331 1342 1936 2662 2684 5324 5368 7381 10648 10736 14641 14762 21296 29282 29524 58564 59048 81191 117128 118096 162382 234256 324764 649528 893101 1299056 1786202 3572404 7144808 14289616