Search a number
-
+
21827190 = 2357112859
BaseRepresentation
bin101001101000…
…0111001110110
31112001221021110
41103100321312
521041432230
62055455450
7353346060
oct123207166
945057243
1021827190
1111359100
127387586
1346a2cc8
142c82730
151db24b0
hex14d0e76

21827190 has 96 divisors (see below), whose sum is σ = 65882880. Its totient is φ = 4530240.

The previous prime is 21827177. The next prime is 21827191. The reversal of 21827190 is 9172812.

It is a super-2 number, since 2×218271902 = 952852446592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21827191) 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 47 ways as a sum of consecutive naturals, for example, 24981 + ... + 25839.

It is an arithmetic number, because the mean of its divisors is an integer number (686280).

Almost surely, 221827190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21827190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32941440).

21827190 is an abundant number, since it is smaller than the sum of its proper divisors (44055690).

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

21827190 is a wasteful number, since it uses less digits than its factorization.

21827190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 21827190 is about 4671.9578337138. The cubic root of 21827190 is about 279.4683363548.

The spelling of 21827190 in words is "twenty-one million, eight hundred twenty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 847 859 1155 1210 1694 1718 1815 2310 2541 2577 3630 4235 4295 5082 5154 6013 8470 8590 9449 12026 12705 12885 18039 18898 25410 25770 28347 30065 36078 47245 56694 60130 66143 90195 94490 103939 132286 141735 180390 198429 207878 283470 311817 330715 396858 519695 623634 661430 727573 992145 1039390 1455146 1559085 1984290 2182719 3118170 3637865 4365438 7275730 10913595 21827190