Search a number
-
+
11729936 = 244117881
BaseRepresentation
bin101100101111…
…110000010000
3211001221110002
4230233300100
511000324221
61055225132
7201463031
oct54576020
924057402
1011729936
116691969
123b181a8
1325790ba
1417b4a88
15106a80b
hexb2fc10

11729936 has 20 divisors (see below), whose sum is σ = 23282364. Its totient is φ = 5721600.

The previous prime is 11729923. The next prime is 11729947. The reversal of 11729936 is 63992711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 9610000 = 1456^2 + 3100^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11729936.

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 3 ways as a sum of consecutive naturals, for example, 8285 + ... + 9596.

Almost surely, 211729936 is an apocalyptic number.

11729936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11729936 is a deficient number, since it is larger than the sum of its proper divisors (11552428).

11729936 is a wasteful number, since it uses less digits than its factorization.

11729936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17930 (or 17924 counting only the distinct ones).

The product of its digits is 20412, while the sum is 38.

The square root of 11729936 is about 3424.8994145814. The cubic root of 11729936 is about 227.2123224488.

The spelling of 11729936 in words is "eleven million, seven hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 17881 35762 71524 143048 286096 733121 1466242 2932484 5864968 11729936