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14123320 = 235714973
BaseRepresentation
bin110101111000…
…000100111000
3222120112112221
4311320010320
512103421240
61222413424
7231021601
oct65700470
928515487
1014123320
117a77072
124891274
132c065c3
141c38da8
15138ea4a
hexd78138

14123320 has 32 divisors (see below), whose sum is σ = 32231520. Its totient is φ = 5568640.

The previous prime is 14123309. The next prime is 14123353. The reversal of 14123320 is 2332141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14123294 and 14123303.

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 7 ways as a sum of consecutive naturals, for example, 354 + ... + 5326.

It is an arithmetic number, because the mean of its divisors is an integer number (1007235).

Almost surely, 214123320 is an apocalyptic number.

14123320 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 14123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115760).

14123320 is an abundant number, since it is smaller than the sum of its proper divisors (18108200).

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

14123320 is a wasteful number, since it uses less digits than its factorization.

14123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 14123320 is about 3758.1005840717. The cubic root of 14123320 is about 241.7198223673.

Adding to 14123320 its reverse (2332141), we get a palindrome (16455461).

The spelling of 14123320 in words is "fourteen million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 4973 9946 19892 24865 39784 49730 99460 198920 353083 706166 1412332 1765415 2824664 3530830 7061660 14123320