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13993441 = 711263691
BaseRepresentation
bin110101011000…
…010111100001
3222022221101121
4311120113201
512040242231
61215532241
7226641130
oct65302741
928287347
1013993441
117998530
12482a081
132b8c457
141c03917
151366311
hexd585e1

13993441 has 16 divisors (see below), whose sum is σ = 17538048. Its totient is φ = 10846800.

The previous prime is 13993439. The next prime is 13993459. The reversal of 13993441 is 14439931.

13993441 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13993441 - 21 = 13993439 is a prime.

Its product of digits (11664) is a multiple of the sum of its prime divisors (972).

13993441 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13993397 and 13993406.

It is not an unprimeable number, because it can be changed into a prime (13993411) 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, 19906 + ... + 20596.

It is an arithmetic number, because the mean of its divisors is an integer number (1096128).

Almost surely, 213993441 is an apocalyptic number.

13993441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13993441 is a deficient number, since it is larger than the sum of its proper divisors (3544607).

13993441 is a wasteful number, since it uses less digits than its factorization.

13993441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972.

The product of its digits is 11664, while the sum is 34.

The square root of 13993441 is about 3740.7808008489. The cubic root of 13993441 is about 240.9765821498.

The spelling of 13993441 in words is "thirteen million, nine hundred ninety-three thousand, four hundred forty-one".

Divisors: 1 7 11 77 263 691 1841 2893 4837 7601 20251 53207 181733 1272131 1999063 13993441