Search a number
-
+
21552132 = 22374753103
BaseRepresentation
bin101001000110…
…1110000000100
31111112221222010
41102031300010
521004132012
62045534220
7351122130
oct122156004
944487863
1021552132
1111190488
127274370
134607a54
142c103c0
151d5ac3c
hex148dc04

21552132 has 96 divisors (see below), whose sum is σ = 60383232. Its totient is φ = 5855616.

The previous prime is 21552131. The next prime is 21552143. The reversal of 21552132 is 23125512.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21552099 and 21552108.

It is not an unprimeable number, because it can be changed into a prime (21552131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209193 + ... + 209295.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 221552132 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 21552132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616).

21552132 is an abundant number, since it is smaller than the sum of its proper divisors (38831100).

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

21552132 is a wasteful number, since it uses less digits than its factorization.

21552132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 21552132 is about 4642.4273823077. The cubic root of 21552132 is about 278.2894523274.

Adding to 21552132 its reverse (23125512), we get a palindrome (44677644).

The spelling of 21552132 in words is "twenty-one million, five hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 53 84 94 103 106 141 159 188 206 212 282 309 318 329 371 412 564 618 636 658 721 742 987 1113 1236 1316 1442 1484 1974 2163 2226 2491 2884 3948 4326 4452 4841 4982 5459 7473 8652 9682 9964 10918 14523 14946 16377 17437 19364 21836 29046 29892 32754 33887 34874 38213 52311 58092 65508 67774 69748 76426 101661 104622 114639 135548 152852 203322 209244 229278 256573 406644 458556 513146 769719 1026292 1539438 1796011 3078876 3592022 5388033 7184044 10776066 21552132