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14072064 = 28373251
BaseRepresentation
bin110101101011…
…100100000000
3222110221020120
4311223210000
512100301224
61221340240
7230416266
oct65534400
928427216
1014072064
117a41606
124867680
132bb9186
141c24436
15137e779
hexd6b900

14072064 has 72 divisors (see below), whose sum is σ = 38116512. Its totient is φ = 4608000.

The previous prime is 14072059. The next prime is 14072087. The reversal of 14072064 is 46027041.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55939 + ... + 56189.

It is an arithmetic number, because the mean of its divisors is an integer number (529396).

Almost surely, 214072064 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 14072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058256).

14072064 is an abundant number, since it is smaller than the sum of its proper divisors (24044448).

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

14072064 is an equidigital number, since it uses as much as digits as its factorization.

14072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

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

The square root of 14072064 is about 3751.2749832557. The cubic root of 14072064 is about 241.4270533983.

The spelling of 14072064 in words is "fourteen million, seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 251 256 292 384 438 502 584 753 768 876 1004 1168 1506 1752 2008 2336 3012 3504 4016 4672 6024 7008 8032 9344 12048 14016 16064 18323 18688 24096 28032 32128 36646 48192 54969 56064 64256 73292 96384 109938 146584 192768 219876 293168 439752 586336 879504 1172672 1759008 2345344 3518016 4690688 7036032 14072064