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14140672 = 28713607
BaseRepresentation
bin110101111100…
…010100000000
3222121102100121
4311330110000
512110000142
61223030024
7231123310
oct65742400
928542317
1014140672
117a89107
12489b314
132c11480
141c41440
151394c67
hexd7c500

14140672 has 72 divisors (see below), whose sum is σ = 34797056. Its totient is φ = 5584896.

The previous prime is 14140669. The next prime is 14140691. The reversal of 14140672 is 27604141.

It is a super-3 number, since 3×141406723 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 22993 + ... + 23599.

Almost surely, 214140672 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 14140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398528).

14140672 is an abundant number, since it is smaller than the sum of its proper divisors (20656384).

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

14140672 is an equidigital number, since it uses as much as digits as its factorization.

14140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 14140672 is about 3760.4084884491. The cubic root of 14140672 is about 241.8187746865.

The spelling of 14140672 in words is "fourteen million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 607 728 832 896 1214 1456 1664 1792 2428 2912 3328 4249 4856 5824 7891 8498 9712 11648 15782 16996 19424 23296 31564 33992 38848 55237 63128 67984 77696 110474 126256 135968 155392 220948 252512 271936 441896 505024 543872 883792 1010048 1087744 1767584 2020096 3535168 7070336 14140672