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13438932 = 22313277311
BaseRepresentation
bin110011010000…
…111111010100
3221021202202020
4303100333110
511420021212
61200013140
7222141363
oct63207724
927252666
1013438932
117649961
1246011b0
132a26c40
141adb7da
1512a6d8c
hexcd0fd4

13438932 has 48 divisors (see below), whose sum is σ = 34000512. Its totient is φ = 4106880.

The previous prime is 13438921. The next prime is 13438933. The reversal of 13438932 is 23983431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13438893 and 13438902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43057 + ... + 43367.

It is an arithmetic number, because the mean of its divisors is an integer number (708344).

Almost surely, 213438932 is an apocalyptic number.

13438932 is a gapful number since it is divisible by the number (12) 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 13438932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17000256).

13438932 is an abundant number, since it is smaller than the sum of its proper divisors (20561580).

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

13438932 is a wasteful number, since it uses less digits than its factorization.

13438932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 13438932 is about 3665.9148926291. The cubic root of 13438932 is about 237.7505802169.

It can be divided in two parts, 134389 and 32, that added together give a triangular number (134421 = T518).

The spelling of 13438932 in words is "thirteen million, four hundred thirty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 277 311 554 622 831 933 1108 1244 1662 1866 3324 3601 3732 4043 7202 8086 10803 12129 14404 16172 21606 24258 43212 48516 86147 172294 258441 344588 516882 1033764 1119911 2239822 3359733 4479644 6719466 13438932