Search a number
-
+
11913824 = 251322203
BaseRepresentation
bin101101011100…
…101001100000
3211102021200202
4231130221200
511022220244
61103204332
7203160116
oct55345140
924367622
1011913824
1167a803a
123ba66a8
132611a00
141821ab6
1510a504e
hexb5ca60

11913824 has 36 divisors (see below), whose sum is σ = 25409916. Its totient is φ = 5496192.

The previous prime is 11913823. The next prime is 11913841. The reversal of 11913824 is 42831911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11913823) 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 5 ways as a sum of consecutive naturals, for example, 4307 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (705831).

Almost surely, 211913824 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 11913824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704958).

11913824 is an abundant number, since it is smaller than the sum of its proper divisors (13496092).

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

11913824 is a wasteful number, since it uses less digits than its factorization.

11913824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2218 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 11913824 is about 3451.6407692574. The cubic root of 11913824 is about 228.3934930665.

The spelling of 11913824 in words is "eleven million, nine hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2203 2704 4406 5408 8812 17624 28639 35248 57278 70496 114556 229112 372307 458224 744614 916448 1489228 2978456 5956912 11913824