Search a number
-
+
21467232 = 2532131569
BaseRepresentation
bin101000111100…
…1000001100000
31111101122111200
41101321001200
520443422412
62044041200
7350316453
oct121710140
944348450
1021467232
1111132716
127233200
1345a8207
142bcb49a
151d409dc
hex1479060

21467232 has 72 divisors (see below), whose sum is σ = 61621560. Its totient is φ = 7088640.

The previous prime is 21467227. The next prime is 21467233. The reversal of 21467232 is 23276412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 21467196 and 21467205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21467233) 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, 37444 + ... + 38012.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 221467232 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 21467232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30810780).

21467232 is an abundant number, since it is smaller than the sum of its proper divisors (40154328).

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

21467232 is a wasteful number, since it uses less digits than its factorization.

21467232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 21467232 is about 4633.2744360765. The cubic root of 21467232 is about 277.9235509125.

The spelling of 21467232 in words is "twenty-one million, four hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 569 786 1048 1138 1179 1572 1707 2096 2276 2358 3144 3414 4192 4552 4716 5121 6288 6828 9104 9432 10242 12576 13656 18208 18864 20484 27312 37728 40968 54624 74539 81936 149078 163872 223617 298156 447234 596312 670851 894468 1192624 1341702 1788936 2385248 2683404 3577872 5366808 7155744 10733616 21467232