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14125320 = 23335112941
BaseRepresentation
bin110101111000…
…100100001000
3222120122022000
4311320210020
512104002240
61222431000
7231030456
oct65704410
928518260
1014125320
117a78620
124892460
132c074a1
141c399d6
151390430
hexd78908

14125320 has 256 divisors, whose sum is σ = 54432000. Its totient is φ = 3225600.

The previous prime is 14125313. The next prime is 14125327. The reversal of 14125320 is 2352141.

It is an interprime number because it is at equal distance from previous prime (14125313) and next prime (14125327).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14125293 and 14125302.

It is not an unprimeable number, because it can be changed into a prime (14125327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344500 + ... + 344540.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 214125320 is an apocalyptic number.

14125320 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 14125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

14125320 is an abundant number, since it is smaller than the sum of its proper divisors (40306680).

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

14125320 is a wasteful number, since it uses less digits than its factorization.

14125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14125320 is about 3758.3666665188. The cubic root of 14125320 is about 241.7312317910.

Adding to 14125320 its reverse (2352141), we get a palindrome (16477461).

The spelling of 14125320 in words is "fourteen million, one hundred twenty-five thousand, three hundred twenty".