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14136320 = 210511251
BaseRepresentation
bin110101111011…
…010000000000
3222121012101102
4311323100000
512104330240
61222553532
7231104522
oct65732000
928535342
1014136320
117a85910
1248988a8
132c0c4b3
141c3da12
151393815
hexd7b400

14136320 has 88 divisors (see below), whose sum is σ = 37140768. Its totient is φ = 5120000.

The previous prime is 14136301. The next prime is 14136347. The reversal of 14136320 is 2363141.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is a junction number, because it is equal to n+sod(n) for n = 14136292 and 14136301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56195 + ... + 56445.

Almost surely, 214136320 is an apocalyptic number.

14136320 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 14136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570384).

14136320 is an abundant number, since it is smaller than the sum of its proper divisors (23004448).

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

14136320 is a wasteful number, since it uses less digits than its factorization.

14136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

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

The square root of 14136320 is about 3759.8297833812. The cubic root of 14136320 is about 241.7939643783.

Adding to 14136320 its reverse (2363141), we get a palindrome (16499461).

The spelling of 14136320 in words is "fourteen million, one hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 251 256 320 352 440 502 512 640 704 880 1004 1024 1255 1280 1408 1760 2008 2510 2560 2761 2816 3520 4016 5020 5120 5522 5632 7040 8032 10040 11044 11264 13805 14080 16064 20080 22088 27610 28160 32128 40160 44176 55220 56320 64256 80320 88352 110440 128512 160640 176704 220880 257024 321280 353408 441760 642560 706816 883520 1285120 1413632 1767040 2827264 3534080 7068160 14136320