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13988931 = 311289433
BaseRepresentation
bin110101010111…
…010001000011
3222022201012120
4311113101003
512040121211
61215455323
7226622025
oct65272103
928281176
1013988931
117995100
124827543
132b8a398
141c02015
151364d06
hexd57443

13988931 has 24 divisors (see below), whose sum is σ = 20779920. Its totient is φ = 8363520.

The previous prime is 13988927. The next prime is 13988941.

It is a happy number.

13988931 is nontrivially palindromic in base 10.

13988931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13988931 - 22 = 13988927 is a prime.

It is a super-2 number, since 2×139889312 = 391380381045522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13988911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32091 + ... + 32523.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 213988931 is an apocalyptic number.

13988931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13988931 is a deficient number, since it is larger than the sum of its proper divisors (6790989).

13988931 is a wasteful number, since it uses less digits than its factorization.

13988931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 13988931 is about 3740.1779369436. The cubic root of 13988931 is about 240.9506909444.

The spelling of 13988931 in words is "thirteen million, nine hundred eighty-eight thousand, nine hundred thirty-one".

Divisors: 1 3 11 33 89 121 267 363 433 979 1299 2937 4763 10769 14289 32307 38537 52393 115611 157179 423907 1271721 4662977 13988931