Search a number
-
+
21479832 = 23321137733
BaseRepresentation
bin101000111110…
…0000110011000
31111102021210100
41101330012120
520444323312
62044215400
7350401263
oct121740630
944367710
1021479832
1111141130
12723a560
1345b0b7a
142bd1cda
151d445dc
hex147c198

21479832 has 96 divisors (see below), whose sum is σ = 65267280. Its totient is φ = 6324480.

The previous prime is 21479779. The next prime is 21479839. The reversal of 21479832 is 23897412.

It is a super-2 number, since 2×214798322 = 922766365496448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21479839) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28938 + ... + 29670.

Almost surely, 221479832 is an apocalyptic number.

21479832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21479832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32633640).

21479832 is an abundant number, since it is smaller than the sum of its proper divisors (43787448).

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

21479832 is a wasteful number, since it uses less digits than its factorization.

21479832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 786 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 21479832 is about 4634.6339661294. The cubic root of 21479832 is about 277.9779151926.

The spelling of 21479832 in words is "twenty-one million, four hundred seventy-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 733 792 814 888 1221 1332 1466 1628 2199 2442 2664 2932 3256 3663 4398 4884 5864 6597 7326 8063 8796 9768 13194 14652 16126 17592 24189 26388 27121 29304 32252 48378 52776 54242 64504 72567 81363 96756 108484 145134 162726 193512 216968 244089 290268 298331 325452 488178 580536 596662 650904 894993 976356 1193324 1789986 1952712 2386648 2684979 3579972 5369958 7159944 10739916 21479832