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14309120 = 28571597
BaseRepresentation
bin110110100101…
…011100000000
3222220222102102
4312211130000
512130342440
61230405532
7232424360
oct66453400
928828372
1014309120
118093721
1249608a8
132c70047
141c869a0
1513c9b15
hexda5700

14309120 has 72 divisors (see below), whose sum is σ = 39195744. Its totient is φ = 4902912.

The previous prime is 14309111. The next prime is 14309129. The reversal of 14309120 is 2190341.

It is an interprime number because it is at equal distance from previous prime (14309111) and next prime (14309129).

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 = 14309092 and 14309101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14309129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8162 + ... + 9758.

Almost surely, 214309120 is an apocalyptic number.

14309120 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 14309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597872).

14309120 is an abundant number, since it is smaller than the sum of its proper divisors (24886624).

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

14309120 is an equidigital number, since it uses as much as digits as its factorization.

14309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 14309120 is about 3782.7397478547. The cubic root of 14309120 is about 242.7751933091.

Adding to 14309120 its reverse (2190341), we get a palindrome (16499461).

The spelling of 14309120 in words is "fourteen million, three hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1597 1792 2240 3194 4480 6388 7985 8960 11179 12776 15970 22358 25552 31940 44716 51104 55895 63880 89432 102208 111790 127760 178864 204416 223580 255520 357728 408832 447160 511040 715456 894320 1022080 1430912 1788640 2044160 2861824 3577280 7154560 14309120