Search a number
-
+
5632668 = 2232473329
BaseRepresentation
bin10101011111001010011100
3101121011120100
4111133022130
52420221133
6320421100
765606526
oct25371234
911534510
105632668
1131a79a8
121a77790
131222a52
14a68a16
15763e13
hex55f29c

5632668 has 36 divisors (see below), whose sum is σ = 14545440. Its totient is φ = 1837056.

The previous prime is 5632651. The next prime is 5632687. The reversal of 5632668 is 8662365.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28 + ... + 3356.

It is an arithmetic number, because the mean of its divisors is an integer number (404040).

Almost surely, 25632668 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 5632668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272720).

5632668 is an abundant number, since it is smaller than the sum of its proper divisors (8912772).

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

5632668 is a wasteful number, since it uses less digits than its factorization.

5632668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3381 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5632668 is about 2373.3242509190. The cubic root of 5632668 is about 177.9254411469.

The spelling of 5632668 in words is "five million, six hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 3329 6658 9987 13316 19974 29961 39948 59922 119844 156463 312926 469389 625852 938778 1408167 1877556 2816334 5632668