Search a number
-
+
13834132 = 22132343269
BaseRepresentation
bin110100110001…
…011110010100
3222000211212021
4310301132110
512020143012
61212302524
7225405514
oct64613624
928024767
1013834132
117899874
124771a44
132b34aa0
141ba1844
151334007
hexd31794

13834132 has 48 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 5943168.

The previous prime is 13834127. The next prime is 13834133. The reversal of 13834132 is 23143831.

13834132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13834097 and 13834106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13834133) 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, 51294 + ... + 51562.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 213834132 is an apocalyptic number.

It is an amenable number.

13834132 is an abundant number, since it is smaller than the sum of its proper divisors (14107628).

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

13834132 is a wasteful number, since it uses less digits than its factorization.

13834132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 13834132 is about 3719.4262998479. The cubic root of 13834132 is about 240.0586199402.

Adding to 13834132 its reverse (23143831), we get a palindrome (36977963).

The spelling of 13834132 in words is "thirteen million, eight hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 13 23 26 43 46 52 86 92 172 269 299 538 559 598 989 1076 1118 1196 1978 2236 3497 3956 6187 6994 11567 12374 12857 13988 23134 24748 25714 46268 51428 80431 150371 160862 266041 300742 321724 532082 601484 1064164 3458533 6917066 13834132