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5529680 = 245132409
BaseRepresentation
bin10101000110000001010000
3101101221021222
4111012001100
52403422210
6314304212
765000342
oct25060120
911357258
105529680
113137592
121a28068
1311b7c00
14a3d292
15743655
hex546050

5529680 has 60 divisors (see below), whose sum is σ = 13955580. Its totient is φ = 2036736.

The previous prime is 5529673. The next prime is 5529701. The reversal of 5529680 is 869255.

It can be written as a sum of positive squares in 6 ways, for example, as 258064 + 5271616 = 508^2 + 2296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5529680.

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 11 ways as a sum of consecutive naturals, for example, 13316 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (232593).

Almost surely, 25529680 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 5529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977790).

5529680 is an abundant number, since it is smaller than the sum of its proper divisors (8425900).

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

5529680 is a wasteful number, since it uses less digits than its factorization.

5529680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 5529680 is about 2351.5271633558. The cubic root of 5529680 is about 176.8343647157.

The spelling of 5529680 in words is "five million, five hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 409 520 676 818 845 1040 1352 1636 1690 2045 2704 3272 3380 4090 5317 6544 6760 8180 10634 13520 16360 21268 26585 32720 42536 53170 69121 85072 106340 138242 212680 276484 345605 425360 552968 691210 1105936 1382420 2764840 5529680