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14299680 = 2535313
BaseRepresentation
bin110110100011…
…001000100000
3222220111110210
4312203020200
512130042210
61230254120
7232355013
oct66431040
928814423
1014299680
11808761a
124957340
132c68965
141c8337a
1513c6e20
hexda3220

14299680 has 96 divisors (see below), whose sum is σ = 46545408. Its totient is φ = 3690240.

The previous prime is 14299667. The next prime is 14299687. The reversal of 14299680 is 8699241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 310 × 186 × 248.

It is not an unprimeable number, because it can be changed into a prime (14299687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461265 + ... + 461295.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 214299680 is an apocalyptic number.

14299680 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 14299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23272704).

14299680 is an abundant number, since it is smaller than the sum of its proper divisors (32245728).

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

14299680 is an frugal number, since it uses more digits than its factorization.

14299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 14299680 is about 3781.4917691303. The cubic root of 14299680 is about 242.7217937525.

The spelling of 14299680 in words is "fourteen million, two hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 961 992 1240 1488 1860 1922 2480 2883 2976 3720 3844 4805 4960 5766 7440 7688 9610 11532 14415 14880 15376 19220 23064 28830 29791 30752 38440 46128 57660 59582 76880 89373 92256 115320 119164 148955 153760 178746 230640 238328 297910 357492 446865 461280 476656 595820 714984 893730 953312 1191640 1429968 1787460 2383280 2859936 3574920 4766560 7149840 14299680