Search a number
-
+
21042288 = 243367727
BaseRepresentation
bin101000001000…
…1010001110000
31110121001121000
41100101101300
520341323123
62031002000
7343566531
oct120212160
943531530
1021042288
1110972423
127069300
134489977
142b1a688
151ca9b43
hex1411470

21042288 has 80 divisors (see below), whose sum is σ = 61384960. Its totient is φ = 6899904.

The previous prime is 21042283. The next prime is 21042289. The reversal of 21042288 is 88224012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21042283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28581 + ... + 29307.

It is an arithmetic number, because the mean of its divisors is an integer number (767312).

Almost surely, 221042288 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 21042288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30692480).

21042288 is an abundant number, since it is smaller than the sum of its proper divisors (40342672).

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

21042288 is a wasteful number, since it uses less digits than its factorization.

21042288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21042288 is about 4587.1873735438. The cubic root of 21042288 is about 276.0774829716.

The spelling of 21042288 in words is "twenty-one million, forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 727 804 1072 1206 1454 1608 1809 2181 2412 2908 3216 3618 4362 4824 5816 6543 7236 8724 9648 11632 13086 14472 17448 19629 26172 28944 34896 39258 48709 52344 78516 97418 104688 146127 157032 194836 292254 314064 389672 438381 584508 779344 876762 1169016 1315143 1753524 2338032 2630286 3507048 5260572 7014096 10521144 21042288