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14140032 = 273231601
BaseRepresentation
bin110101111100…
…001010000000
3222121101110220
4311330022000
512104440112
61223023040
7231121404
oct65741200
928541426
1014140032
117a88685
12489aa80
132c110aa
141c41104
15139498c
hexd7c280

14140032 has 64 divisors (see below), whose sum is σ = 39216960. Its totient is φ = 4505600.

The previous prime is 14140013. The next prime is 14140043. The reversal of 14140032 is 23004141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×141400322 = 399881009922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14139993 and 14140020.

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, 8032 + ... + 9632.

It is an arithmetic number, because the mean of its divisors is an integer number (612765).

Almost surely, 214140032 is an apocalyptic number.

14140032 is a gapful number since it is divisible by the number (12) 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 14140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608480).

14140032 is an abundant number, since it is smaller than the sum of its proper divisors (25076928).

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

14140032 is a wasteful number, since it uses less digits than its factorization.

14140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14140032 is about 3760.3233903482. The cubic root of 14140032 is about 241.8151264310.

Adding to 14140032 its reverse (23004141), we get a palindrome (37144173).

The spelling of 14140032 in words is "fourteen million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 1601 2208 2944 3202 4416 4803 6404 8832 9606 12808 19212 25616 36823 38424 51232 73646 76848 102464 110469 147292 153696 204928 220938 294584 307392 441876 589168 614784 883752 1178336 1767504 2356672 3535008 4713344 7070016 14140032