Search a number
-
+
5527680 = 27352879
BaseRepresentation
bin10101000101100010000000
3101101211112220
4111011202000
52403341210
6314251040
764661454
oct25054200
911354486
105527680
113136034
121a26a80
1311b7022
14a3c664
15742c70
hex545880

5527680 has 64 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1473536.

The previous prime is 5527673. The next prime is 5527721. The reversal of 5527680 is 867255.

It is a happy number.

5527680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 25527680 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 5527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

5527680 is an abundant number, since it is smaller than the sum of its proper divisors (12097920).

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

5527680 is a wasteful number, since it uses less digits than its factorization.

5527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5527680 is about 2351.1018693370. The cubic root of 5527680 is about 176.8130427238.

The spelling of 5527680 in words is "five million, five hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2879 5758 8637 11516 14395 17274 23032 28790 34548 43185 46064 57580 69096 86370 92128 115160 138192 172740 184256 230320 276384 345480 368512 460640 552768 690960 921280 1105536 1381920 1842560 2763840 5527680