Search a number
-
+
21472632 = 23321753331
BaseRepresentation
bin101000111101…
…0010101111000
31111101220220200
41101322111320
520444111012
62044122200
7350341266
oct121722570
944356820
1021472632
1111136785
127236360
1345aa7cc
142bcd436
151d423dc
hex147a578

21472632 has 96 divisors (see below), whose sum is σ = 62927280. Its totient is φ = 6589440.

The previous prime is 21472631. The next prime is 21472657. The reversal of 21472632 is 23627412.

21472632 is a `hidden beast` number, since 21 + 4 + 7 + 2 + 632 = 666.

It is a super-2 number, since 2×214726322 = 922147850014848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21472596 and 21472605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21472631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64707 + ... + 65037.

Almost surely, 221472632 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 21472632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31463640).

21472632 is an abundant number, since it is smaller than the sum of its proper divisors (41454648).

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

21472632 is a wasteful number, since it uses less digits than its factorization.

21472632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

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

The square root of 21472632 is about 4633.8571406551. The cubic root of 21472632 is about 277.9468524938.

The spelling of 21472632 in words is "twenty-one million, four hundred seventy-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 331 408 424 477 612 636 662 901 954 993 1224 1272 1324 1802 1908 1986 2648 2703 2979 3604 3816 3972 5406 5627 5958 7208 7944 8109 10812 11254 11916 16218 16881 17543 21624 22508 23832 32436 33762 35086 45016 50643 52629 64872 67524 70172 101286 105258 135048 140344 157887 202572 210516 298231 315774 405144 421032 596462 631548 894693 1192924 1263096 1789386 2385848 2684079 3578772 5368158 7157544 10736316 21472632