Search a number
-
+
2471364 = 223372467
BaseRepresentation
bin1001011011010111000100
311122120002000
421123113010
51113040424
6124545300
730002100
oct11332704
94576060
102471364
111438855
129b2230
13686b5c
14484900
1533c3c9
hex25b5c4

2471364 has 72 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 704592.

The previous prime is 2471347. The next prime is 2471377. The reversal of 2471364 is 4631742.

2471364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24713642 = 12215280040992, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 5059 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

22471364 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 2471364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2471364 is an abundant number, since it is smaller than the sum of its proper divisors (4997916).

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

2471364 is a wasteful number, since it uses less digits than its factorization.

2471364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2471364 is about 1572.0572508659. The cubic root of 2471364 is about 135.2006891647.

The spelling of 2471364 in words is "two million, four hundred seventy-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 467 588 756 882 934 1323 1401 1764 1868 2646 2802 3269 4203 5292 5604 6538 8406 9807 12609 13076 16812 19614 22883 25218 29421 39228 45766 50436 58842 68649 88263 91532 117684 137298 176526 205947 274596 353052 411894 617841 823788 1235682 2471364