Search a number
-
+
21804432 = 2431383421
BaseRepresentation
bin101001100101…
…1010110010000
31112000210001120
41103023112100
521040220212
62055202240
7353222526
oct123132620
945023046
1021804432
1111342aa1
127376380
134695840
142c78316
151daa88c
hex14cb590

21804432 has 80 divisors (see below), whose sum is σ = 61537728. Its totient is φ = 6612480.

The previous prime is 21804361. The next prime is 21804449. The reversal of 21804432 is 23440812.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 51582 + ... + 52002.

Almost surely, 221804432 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 21804432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30768864).

21804432 is an abundant number, since it is smaller than the sum of its proper divisors (39733296).

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

21804432 is a wasteful number, since it uses less digits than its factorization.

21804432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 21804432 is about 4669.5216029054. The cubic root of 21804432 is about 279.3711738687.

The spelling of 21804432 in words is "twenty-one million, eight hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 421 498 624 664 842 996 1079 1263 1328 1684 1992 2158 2526 3237 3368 3984 4316 5052 5473 6474 6736 8632 10104 10946 12948 16419 17264 20208 21892 25896 32838 34943 43784 51792 65676 69886 87568 104829 131352 139772 209658 262704 279544 419316 454259 559088 838632 908518 1362777 1677264 1817036 2725554 3634072 5451108 7268144 10902216 21804432