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2684136 = 2337131229
BaseRepresentation
bin1010001111010011101000
312001100221110
422033103220
51141343021
6133310320
731546320
oct12172350
95040843
102684136
1115736a4
12a953a0
1372c960
144dc280
15380476
hex28f4e8

2684136 has 64 divisors (see below), whose sum is σ = 8265600. Its totient is φ = 707328.

The previous prime is 2684093. The next prime is 2684141. The reversal of 2684136 is 6314862.

2684136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1570 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (129150).

22684136 is an apocalyptic number.

2684136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2684136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132800).

2684136 is an abundant number, since it is smaller than the sum of its proper divisors (5581464).

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

2684136 is a wasteful number, since it uses less digits than its factorization.

2684136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1254 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2684136 is about 1638.3332994235. Note that the first 3 decimals coincide. The cubic root of 2684136 is about 138.9744100020.

Adding to 2684136 its reverse (6314862), we get a palindrome (8998998).

The spelling of 2684136 in words is "two million, six hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1229 2184 2458 3687 4916 7374 8603 9832 14748 15977 17206 25809 29496 31954 34412 47931 51618 63908 68824 95862 103236 111839 127816 191724 206472 223678 335517 383448 447356 671034 894712 1342068 2684136