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13132014 = 2371911637
BaseRepresentation
bin110010000110…
…000011101110
3220201011201220
4302012003232
511330211024
61145244210
7216422520
oct62060356
926634656
1013132014
11745a305
124493666
13294a32c
141a5ba10
151245e79
hexc860ee

13132014 has 32 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 3730080.

The previous prime is 13132001. The next prime is 13132033. The reversal of 13132014 is 41023131.

It is a junction number, because it is equal to n+sod(n) for n = 13131984 and 13132002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7204 + ... + 8840.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 213132014 is an apocalyptic number.

13132014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13132014 is an abundant number, since it is smaller than the sum of its proper divisors (17059602).

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

13132014 is a wasteful number, since it uses less digits than its factorization.

13132014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13132014 is about 3623.8120812205. The cubic root of 13132014 is about 235.9267104608.

Adding to 13132014 its reverse (41023131), we get a palindrome (54155145).

The spelling of 13132014 in words is "thirteen million, one hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 191 382 573 1146 1337 1637 2674 3274 4011 4911 8022 9822 11459 22918 34377 68754 312667 625334 938001 1876002 2188669 4377338 6566007 13132014