Search a number
-
+
13996836 = 2232767829
BaseRepresentation
bin110101011001…
…001100100100
3222100010001100
4311121030210
512040344321
61220000100
7226654050
oct65311444
928303040
1013996836
1179a0037
124830030
132b90b69
141c04c60
151367326
hexd59324

13996836 has 72 divisors (see below), whose sum is σ = 41088320. Its totient is φ = 3934656.

The previous prime is 13996819. The next prime is 13996837. The reversal of 13996836 is 63869931.

It is a super-2 number, since 2×139968362 = 391822836021792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13996791 and 13996800.

It is not an unprimeable number, because it can be changed into a prime (13996837) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16470 + ... + 17298.

Almost surely, 213996836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13996836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20544160).

13996836 is an abundant number, since it is smaller than the sum of its proper divisors (27091484).

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

13996836 is a wasteful number, since it uses less digits than its factorization.

13996836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 908 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 13996836 is about 3741.2345555979. The cubic root of 13996836 is about 240.9960686445.

The spelling of 13996836 in words is "thirteen million, nine hundred ninety-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 829 938 1206 1407 1658 1876 2412 2487 2814 3316 4221 4974 5628 5803 7461 8442 9948 11606 14922 16884 17409 23212 29844 34818 52227 55543 69636 104454 111086 166629 208908 222172 333258 388801 499887 666516 777602 999774 1166403 1555204 1999548 2332806 3499209 4665612 6998418 13996836