Search a number
-
+
11823984 = 2432157523
BaseRepresentation
bin101101000110…
…101101110000
3211020201110100
4231012231300
511011331414
61101232400
7202334154
oct55065560
924221410
1011823984
116746597
123b62700
1325acb53
1417db064
151088609
hexb46b70

11823984 has 60 divisors (see below), whose sum is σ = 33365176. Its totient is φ = 3908736.

The previous prime is 11823971. The next prime is 11823991. The reversal of 11823984 is 48932811.

11823984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22347 + ... + 22869.

Almost surely, 211823984 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 11823984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682588).

11823984 is an abundant number, since it is smaller than the sum of its proper divisors (21541192).

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

11823984 is a wasteful number, since it uses less digits than its factorization.

11823984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11823984 is about 3438.6020415279. The cubic root of 11823984 is about 227.8179525585.

The spelling of 11823984 in words is "eleven million, eight hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 523 628 942 1046 1256 1413 1569 1884 2092 2512 2826 3138 3768 4184 4707 5652 6276 7536 8368 9414 11304 12552 18828 22608 25104 37656 75312 82111 164222 246333 328444 492666 656888 738999 985332 1313776 1477998 1970664 2955996 3941328 5911992 11823984