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5340880 = 245101661
BaseRepresentation
bin10100010111111011010000
3101001100022101
4110113323100
52331402010
6310250144
763253036
oct24277320
911040271
105340880
113018756
121956954
13114ccac
149d0556
1570773a
hex517ed0

5340880 has 40 divisors (see below), whose sum is σ = 12559464. Its totient is φ = 2112000.

The previous prime is 5340871. The next prime is 5340883. The reversal of 5340880 is 880435.

It can be written as a sum of positive squares in 4 ways, for example, as 2598544 + 2742336 = 1612^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7750 + ... + 8410.

Almost surely, 25340880 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 5340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279732).

5340880 is an abundant number, since it is smaller than the sum of its proper divisors (7218584).

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

5340880 is a wasteful number, since it uses less digits than its factorization.

5340880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5340880 is about 2311.0344004363. The cubic root of 5340880 is about 174.7984618660.

The spelling of 5340880 in words is "five million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 661 808 1010 1322 1616 2020 2644 3305 4040 5288 6610 8080 10576 13220 26440 52880 66761 133522 267044 333805 534088 667610 1068176 1335220 2670440 5340880