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14070624 = 2531031423
BaseRepresentation
bin110101101011…
…001101100000
3222110212021020
4311223031200
512100224444
61221325440
7230412141
oct65531540
928425236
1014070624
117a40517
124866880
132bb8619
141c23ac8
15137e119
hexd6b360

14070624 has 48 divisors (see below), whose sum is σ = 37320192. Its totient is φ = 4641408.

The previous prime is 14070601. The next prime is 14070629. The reversal of 14070624 is 42607041.

14070624 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14070594 and 14070603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14070629) 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, 9177 + ... + 10599.

It is an arithmetic number, because the mean of its divisors is an integer number (777504).

Almost surely, 214070624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14070624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18660096).

14070624 is an abundant number, since it is smaller than the sum of its proper divisors (23249568).

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

14070624 is a wasteful number, since it uses less digits than its factorization.

14070624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 14070624 is about 3751.0830436022. The cubic root of 14070624 is about 241.4188180080.

Adding to 14070624 its reverse (42607041), we get a palindrome (56677665).

The spelling of 14070624 in words is "fourteen million, seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1423 1648 2472 2846 3296 4269 4944 5692 8538 9888 11384 17076 22768 34152 45536 68304 136608 146569 293138 439707 586276 879414 1172552 1758828 2345104 3517656 4690208 7035312 14070624