Search a number
-
+
12824490 = 2357173353
BaseRepresentation
bin110000111010…
…111110101010
3220010112220010
4300322332222
511240340430
61134512350
7214002120
oct60727652
926115803
1012824490
11726a258
1243656b6
132870373
1419bb910
1511d4cb0
hexc3afaa

12824490 has 64 divisors (see below), whose sum is σ = 35479296. Its totient is φ = 2906112.

The previous prime is 12824473. The next prime is 12824491. The reversal of 12824490 is 9442821.

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

It is not an unprimeable number, because it can be changed into a prime (12824491) 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, 36154 + ... + 36506.

It is an arithmetic number, because the mean of its divisors is an integer number (554364).

Almost surely, 212824490 is an apocalyptic number.

12824490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12824490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739648).

12824490 is an abundant number, since it is smaller than the sum of its proper divisors (22654806).

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

12824490 is a wasteful number, since it uses less digits than its factorization.

12824490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12824490 is about 3581.1297100217. The cubic root of 12824490 is about 234.0705098349.

The spelling of 12824490 in words is "twelve million, eight hundred twenty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 173 210 346 353 519 706 865 1038 1059 1211 1730 1765 2118 2422 2471 2595 3530 3633 4942 5190 5295 6055 7266 7413 10590 12110 12355 14826 18165 24710 36330 37065 61069 74130 122138 183207 305345 366414 427483 610690 854966 916035 1282449 1832070 2137415 2564898 4274830 6412245 12824490