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14253360 = 2435115399
BaseRepresentation
bin110110010111…
…110100110000
3222211010221020
4312113310300
512122101420
61225255440
7232102662
oct66276460
928733836
1014253360
118055840
124934580
132c50854
141c70532
1513b8340
hexd97d30

14253360 has 80 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 3454720.

The previous prime is 14253329. The next prime is 14253383. The reversal of 14253360 is 6335241.

It is a happy number.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14253360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 214253360 is an apocalyptic number.

14253360 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 14253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

14253360 is an abundant number, since it is smaller than the sum of its proper divisors (33957840).

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

14253360 is a wasteful number, since it uses less digits than its factorization.

14253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 14253360 is about 3775.3622342763. The cubic root of 14253360 is about 242.4594327577.

The spelling of 14253360 in words is "fourteen million, two hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5399 10798 16197 21596 26995 32394 43192 53990 59389 64788 80985 86384 107980 118778 129576 161970 178167 215960 237556 259152 296945 323940 356334 431920 475112 593890 647880 712668 890835 950224 1187780 1295760 1425336 1781670 2375560 2850672 3563340 4751120 7126680 14253360