Search a number
-
+
5360964 = 2237193359
BaseRepresentation
bin10100011100110101000100
3101002100212020
4110130311010
52333022324
6310523140
763365430
oct24346504
911070766
105360964
113031854
1219664b0
13115918b
149d79c0
1570d679
hex51cd44

5360964 has 48 divisors (see below), whose sum is σ = 15052800. Its totient is φ = 1450656.

The previous prime is 5360963. The next prime is 5360977. The reversal of 5360964 is 4690635.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5360963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (313600).

Almost surely, 25360964 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 5360964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526400).

5360964 is an abundant number, since it is smaller than the sum of its proper divisors (9691836).

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

5360964 is a wasteful number, since it uses less digits than its factorization.

5360964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 5360964 is about 2315.3755634886. The cubic root of 5360964 is about 175.0172935291.

The spelling of 5360964 in words is "five million, three hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 3359 6718 10077 13436 20154 23513 40308 47026 63821 70539 94052 127642 141078 191463 255284 282156 382926 446747 765852 893494 1340241 1786988 2680482 5360964