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5662116 = 2233103509
BaseRepresentation
bin10101100110010110100100
3101122122222000
4111212112210
52422141431
6321205300
766061425
oct25462644
911578860
105662116
113218039
121a90830
131233285
14a7564c
1576c9e6
hex5665a4

5662116 has 48 divisors (see below), whose sum is σ = 14851200. Its totient is φ = 1865376.

The previous prime is 5662109. The next prime is 5662121. The reversal of 5662116 is 6112665.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5662116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10870 + ... + 11378.

It is an arithmetic number, because the mean of its divisors is an integer number (309400).

Almost surely, 25662116 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 5662116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425600).

5662116 is an abundant number, since it is smaller than the sum of its proper divisors (9189084).

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

5662116 is a wasteful number, since it uses less digits than its factorization.

5662116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 5662116 is about 2379.5201196880. The cubic root of 5662116 is about 178.2349714267.

It can be divided in two parts, 5662 and 116, that added together give a triangular number (5778 = T107).

The spelling of 5662116 in words is "five million, six hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 509 618 927 1018 1236 1527 1854 2036 2781 3054 3708 4581 5562 6108 9162 11124 13743 18324 27486 52427 54972 104854 157281 209708 314562 471843 629124 943686 1415529 1887372 2831058 5662116