Search a number
-
+
5506960 = 245193623
BaseRepresentation
bin10101000000011110010000
3101100210010111
4111000132100
52402210320
6314011104
764544164
oct25003620
911323114
105506960
113121508
121a16a94
1311aa774
14a34ca4
1573ba5a
hex540790

5506960 has 40 divisors (see below), whose sum is σ = 13481280. Its totient is φ = 2086272.

The previous prime is 5506951. The next prime is 5506961. The reversal of 5506960 is 696055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5506961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 3331.

It is an arithmetic number, because the mean of its divisors is an integer number (337032).

Almost surely, 25506960 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 5506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740640).

5506960 is an abundant number, since it is smaller than the sum of its proper divisors (7974320).

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

5506960 is a wasteful number, since it uses less digits than its factorization.

5506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 5506960 is about 2346.6912877496. The cubic root of 5506960 is about 176.5918436363.

The spelling of 5506960 in words is "five million, five hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3623 7246 14492 18115 28984 36230 57968 68837 72460 137674 144920 275348 289840 344185 550696 688370 1101392 1376740 2753480 5506960