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14671136 = 2517149181
BaseRepresentation
bin110111111101…
…110100100000
31000121101000102
4313331310200
512223434021
61242241532
7235462664
oct67756440
930541012
1014671136
118310707
124ab62a8
133068a5c
141d3c8a4
15144c00b
hexdfdd20

14671136 has 48 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 6819840.

The previous prime is 14671123. The next prime is 14671147. The reversal of 14671136 is 63117641.

It can be written as a sum of positive squares in 4 ways, for example, as 7075600 + 7595536 = 2660^2 + 2756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14671099 and 14671108.

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, 80966 + ... + 81146.

Almost surely, 214671136 is an apocalyptic number.

14671136 is a gapful number since it is divisible by the number (16) 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 14671136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

14671136 is an abundant number, since it is smaller than the sum of its proper divisors (16287064).

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

14671136 is a wasteful number, since it uses less digits than its factorization.

14671136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 14671136 is about 3830.2918948822. The cubic root of 14671136 is about 244.8055433264.

Adding to 14671136 its reverse (63117641), we get a palindrome (77788777).

The spelling of 14671136 in words is "fourteen million, six hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 149 181 272 298 362 544 596 724 1192 1448 2384 2533 2896 3077 4768 5066 5792 6154 10132 12308 20264 24616 26969 40528 49232 53938 81056 98464 107876 215752 431504 458473 863008 916946 1833892 3667784 7335568 14671136