Search a number
-
+
21023832 = 233172272
BaseRepresentation
bin101000000110…
…0110001011000
31110120010021110
41100030301120
520340230312
62030340320
7343461654
oct120146130
943503243
1021023832
111095a575
12705a6a0
13448144b
142b13a64
151ca443c
hex140cc58

21023832 has 48 divisors (see below), whose sum is σ = 55897560. Its totient is φ = 6566656.

The previous prime is 21023831. The next prime is 21023837. The reversal of 21023832 is 23832012.

It is a junction number, because it is equal to n+sod(n) for n = 21023799 and 21023808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21023831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92503 + ... + 92729.

Almost surely, 221023832 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 21023832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27948780).

21023832 is an abundant number, since it is smaller than the sum of its proper divisors (34873728).

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

21023832 is a wasteful number, since it uses less digits than its factorization.

21023832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21023832 is about 4585.1752420164. The cubic root of 21023832 is about 275.9967443430.

Adding to 21023832 its reverse (23832012), we get a palindrome (44855844).

It can be divided in two parts, 210 and 23832, that added together give a palindrome (24042).

The spelling of 21023832 in words is "twenty-one million, twenty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 227 408 454 681 908 1362 1816 2724 3859 5448 7718 11577 15436 23154 30872 46308 51529 92616 103058 154587 206116 309174 412232 618348 875993 1236696 1751986 2627979 3503972 5255958 7007944 10511916 21023832