Search a number
-
+
11484032 = 27721831
BaseRepresentation
bin101011110011…
…101110000000
3210121110010112
4223303232000
510414442112
61050050452
7166420100
oct53635600
923543115
1011484032
11653413a
123a19a28
1324c11b1
14174d200
15101ca22
hexaf3b80

11484032 has 48 divisors (see below), whose sum is σ = 26628120. Its totient is φ = 4919040.

The previous prime is 11483957. The next prime is 11484047. The reversal of 11484032 is 23048411.

11484032 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 = 11483989 and 11484007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5357 + ... + 7187.

Almost surely, 211484032 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 11484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314060).

11484032 is an abundant number, since it is smaller than the sum of its proper divisors (15144088).

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

11484032 is an equidigital number, since it uses as much as digits as its factorization.

11484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 11484032 is about 3388.8098205712. The cubic root of 11484032 is about 225.6133519921.

The spelling of 11484032 in words is "eleven million, four hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 1831 3136 3662 6272 7324 12817 14648 25634 29296 51268 58592 89719 102536 117184 179438 205072 234368 358876 410144 717752 820288 1435504 1640576 2871008 5742016 11484032