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14011360 = 2551119419
BaseRepresentation
bin110101011100…
…101111100000
3222100211222021
4311130233200
512041330420
61220151224
7230044306
oct65345740
928324867
1014011360
1179aaa40
124838514
132b9765c
141c0a276
15136b7aa
hexd5cbe0

14011360 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 4815360.

The previous prime is 14011357. The next prime is 14011369. The reversal of 14011360 is 6311041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011369) by changing a digit.

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, 33231 + ... + 33649.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 214011360 is an apocalyptic number.

14011360 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 14011360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

14011360 is an abundant number, since it is smaller than the sum of its proper divisors (24091040).

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

14011360 is a wasteful number, since it uses less digits than its factorization.

14011360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 14011360 is about 3743.1751228068. The cubic root of 14011360 is about 241.0793974033.

The spelling of 14011360 in words is "fourteen million, eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 419 440 608 760 836 838 880 1045 1520 1672 1676 1760 2090 2095 3040 3344 3352 4180 4190 4609 6688 6704 7961 8360 8380 9218 13408 15922 16720 16760 18436 23045 31844 33440 33520 36872 39805 46090 63688 67040 73744 79610 87571 92180 127376 147488 159220 175142 184360 254752 318440 350284 368720 437855 636880 700568 737440 875710 1273760 1401136 1751420 2802272 3502840 7005680 14011360