Search a number
-
+
18829132 = 2272175651
BaseRepresentation
bin100011111010…
…0111101001100
31022102121201021
41013310331030
514310013012
61511323524
7316021300
oct107647514
938377637
1018829132
11a6a0673
1263805a4
133b934ca
142701d00
1519be007
hex11f4f4c

18829132 has 36 divisors (see below), whose sum is σ = 40592664. Its totient is φ = 7593600.

The previous prime is 18829123. The next prime is 18829163. The reversal of 18829132 is 23192881.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 507 + ... + 6157.

It is an arithmetic number, because the mean of its divisors is an integer number (1127574).

Almost surely, 218829132 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 18829132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296332).

18829132 is an abundant number, since it is smaller than the sum of its proper divisors (21763532).

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

18829132 is a wasteful number, since it uses less digits than its factorization.

18829132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5677 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 18829132 is about 4339.2547747280. The cubic root of 18829132 is about 266.0378524157.

The spelling of 18829132 in words is "eighteen million, eight hundred twenty-nine thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 5651 11302 22604 39557 79114 96067 158228 192134 276899 384268 553798 672469 1107596 1344938 2689876 4707283 9414566 18829132