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5569680 = 2435231009
BaseRepresentation
bin10101001111110010010000
3101110222011110
4111033302100
52411212210
6315213320
765225064
oct25176220
911428143
105569680
113164646
121a47240
13120018c
14a4daa4
15750420
hex54fc90

5569680 has 80 divisors (see below), whose sum is σ = 18034560. Its totient is φ = 1419264.

The previous prime is 5569673. The next prime is 5569687. The reversal of 5569680 is 869655.

It is an interprime number because it is at equal distance from previous prime (5569673) and next prime (5569687).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5569687) by changing a digit.

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, 5016 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (225432).

Almost surely, 25569680 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 5569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017280).

5569680 is an abundant number, since it is smaller than the sum of its proper divisors (12464880).

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

5569680 is a wasteful number, since it uses less digits than its factorization.

5569680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5569680 is about 2360.0169490917. The cubic root of 5569680 is about 177.2597291288.

The spelling of 5569680 in words is "five million, five hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1009 1104 1380 1840 2018 2760 3027 4036 5045 5520 6054 8072 10090 12108 15135 16144 20180 23207 24216 30270 40360 46414 48432 60540 69621 80720 92828 116035 121080 139242 185656 232070 242160 278484 348105 371312 464140 556968 696210 928280 1113936 1392420 1856560 2784840 5569680