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6132880 = 245135897
BaseRepresentation
bin10111011001010010010000
3102112120201201
4113121102100
53032223010
6335240544
7103062055
oct27312220
912476651
106132880
1135097a6
122079154
131369630
14b5902c
1581223a
hex5d9490

6132880 has 40 divisors (see below), whose sum is σ = 15358392. Its totient is φ = 2264064.

The previous prime is 6132871. The next prime is 6132883. The reversal of 6132880 is 882316.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 5308416 = 908^2 + 2304^2 .

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

It is a super-2 number, since 2×61328802 = 75224434188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6132883) 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, 1909 + ... + 3988.

Almost surely, 26132880 is an apocalyptic number.

It is an amenable number.

6132880 is an abundant number, since it is smaller than the sum of its proper divisors (9225512).

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

6132880 is a wasteful number, since it uses less digits than its factorization.

6132880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6132880 is about 2476.4652228529. The cubic root of 6132880 is about 183.0437153569.

Subtracting from 6132880 its product of nonzero digits (2304), we obtain a square (6130576 = 24762).

The spelling of 6132880 in words is "six million, one hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 5897 11794 23588 29485 47176 58970 76661 94352 117940 153322 235880 306644 383305 471760 613288 766610 1226576 1533220 3066440 6132880