Search a number
-
+
5456660 = 22511171459
BaseRepresentation
bin10100110100001100010100
3101021020010112
4110310030110
52344103120
6312542152
764244426
oct24641424
911236115
105456660
113097740
1219b1958
1311908c1
14a20816
1572bbc5
hex534314

5456660 has 48 divisors (see below), whose sum is σ = 13245120. Its totient is φ = 1866240.

The previous prime is 5456603. The next prime is 5456663. The reversal of 5456660 is 666545.

5456660 = T219 + T220 + ... + T350.

5456660 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456663) 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, 3011 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 25456660 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 5456660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622560).

5456660 is an abundant number, since it is smaller than the sum of its proper divisors (7788460).

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

5456660 is a wasteful number, since it uses less digits than its factorization.

5456660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 5456660 is about 2335.9494857552. The cubic root of 5456660 is about 176.0525411316.

It can be divided in two parts, 5456 and 660, that added together give a palindrome (6116).

The spelling of 5456660 in words is "five million, four hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1459 1870 2918 3740 5836 7295 14590 16049 24803 29180 32098 49606 64196 80245 99212 124015 160490 248030 272833 320980 496060 545666 1091332 1364165 2728330 5456660