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13948381 = 1753113137
BaseRepresentation
bin110101001101…
…010111011101
3222020122120201
4311031113131
512032322011
61214543501
7226362556
oct65152735
928218521
1013948381
117967697
124807b91
132b74aa5
141bd132d
151357cc1
hexd4d5dd

13948381 has 16 divisors (see below), whose sum is σ = 15291504. Its totient is φ = 12673024.

The previous prime is 13948379. The next prime is 13948387. The reversal of 13948381 is 18384931.

13948381 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 8 ways, for example, as 5625 + 13942756 = 75^2 + 3734^2 .

It is not a de Polignac number, because 13948381 - 21 = 13948379 is a prime.

It is a super-2 number, since 2×139483812 = 389114665042322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13948381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13948387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101745 + ... + 101881.

It is an arithmetic number, because the mean of its divisors is an integer number (955719).

Almost surely, 213948381 is an apocalyptic number.

It is an amenable number.

13948381 is a deficient number, since it is larger than the sum of its proper divisors (1343123).

13948381 is a wasteful number, since it uses less digits than its factorization.

13948381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its digits is 20736, while the sum is 37.

The square root of 13948381 is about 3734.7531377589. The cubic root of 13948381 is about 240.7176493954.

The spelling of 13948381 in words is "thirteen million, nine hundred forty-eight thousand, three hundred eighty-one".

Divisors: 1 17 53 113 137 901 1921 2329 5989 7261 15481 101813 123437 263177 820493 13948381