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14213360 = 2457171493
BaseRepresentation
bin110110001110…
…000011110000
3222202010001202
4312032003300
512114311420
61224350332
7231545240
oct66160360
928663052
1014213360
118028787
1249153a8
132c38595
141c5db20
1513ab575
hexd8e0f0

14213360 has 80 divisors (see below), whose sum is σ = 40015296. Its totient is φ = 4583424.

The previous prime is 14213359. The next prime is 14213371. The reversal of 14213360 is 6331241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8774 + ... + 10266.

Almost surely, 214213360 is an apocalyptic number.

14213360 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 14213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007648).

14213360 is an abundant number, since it is smaller than the sum of its proper divisors (25801936).

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

14213360 is a wasteful number, since it uses less digits than its factorization.

14213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 14213360 is about 3770.0610074639. The cubic root of 14213360 is about 242.2324111093.

The spelling of 14213360 in words is "fourteen million, two hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1493 1904 2380 2986 4760 5972 7465 9520 10451 11944 14930 20902 23888 25381 29860 41804 50762 52255 59720 83608 101524 104510 119440 126905 167216 177667 203048 209020 253810 355334 406096 418040 507620 710668 836080 888335 1015240 1421336 1776670 2030480 2842672 3553340 7106680 14213360