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5580216 = 2332174797
BaseRepresentation
bin10101010010010110111000
3101111111121200
4111102112320
52412031331
6315334200
765300565
oct25222670
911444550
105580216
113171554
121a51360
131204c05
14a5386c
157535e6
hex5525b8

5580216 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1695744.

The previous prime is 5580181. The next prime is 5580227. The reversal of 5580216 is 6120855.

It is a super-2 number, since 2×55802162 = 62277621213312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5580216.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 57480 + ... + 57576.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 25580216 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 5580216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5580216 is an abundant number, since it is smaller than the sum of its proper divisors (10930824).

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

5580216 is a wasteful number, since it uses less digits than its factorization.

5580216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5580216 is about 2362.2480818068. The cubic root of 5580216 is about 177.3714310644.

The spelling of 5580216 in words is "five million, five hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 47 51 68 72 94 97 102 136 141 153 188 194 204 282 291 306 376 388 408 423 564 582 612 776 799 846 873 1128 1164 1224 1598 1649 1692 1746 2328 2397 3196 3298 3384 3492 4559 4794 4947 6392 6596 6984 7191 9118 9588 9894 13192 13677 14382 14841 18236 19176 19788 27354 28764 29682 36472 39576 41031 54708 57528 59364 77503 82062 109416 118728 155006 164124 232509 310012 328248 465018 620024 697527 930036 1395054 1860072 2790108 5580216