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5605680 = 243523357
BaseRepresentation
bin10101011000100100110000
3101112210112210
4111120210300
52413340210
6320052120
765435043
oct25304460
911483483
105605680
1131896a3
121a64040
131213692
14a5cc5a
1575ae20
hex558930

5605680 has 40 divisors (see below), whose sum is σ = 17378352. Its totient is φ = 1494784.

The previous prime is 5605679. The next prime is 5605681. The reversal of 5605680 is 865065.

5605680 is nontrivially palindromic in base 14.

5605680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5605679) and next prime (5605681).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5605681) 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, 11439 + ... + 11918.

Almost surely, 25605680 is an apocalyptic number.

It is an amenable number.

5605680 is an abundant number, since it is smaller than the sum of its proper divisors (11772672).

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

5605680 is a wasteful number, since it uses less digits than its factorization.

5605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23373 (or 23367 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 5605680 is about 2367.6317281199. The cubic root of 5605680 is about 177.6408192840.

The spelling of 5605680 in words is "five million, six hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 23357 46714 70071 93428 116785 140142 186856 233570 280284 350355 373712 467140 560568 700710 934280 1121136 1401420 1868560 2802840 5605680