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6130980 = 2232534061
BaseRepresentation
bin10111011000110100100100
3102112111010100
4113120310210
53032142410
6335224100
7103053402
oct27306444
912474110
106130980
113508329
122078030
1313687cb
14b58472
158118c0
hex5d8d24

6130980 has 36 divisors (see below), whose sum is σ = 18597852. Its totient is φ = 1634880.

The previous prime is 6130979. The next prime is 6130981. The reversal of 6130980 is 890316.

6130980 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 (6130979) and next prime (6130981).

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 5503716 = 792^2 + 2346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (6130981) 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 11 ways as a sum of consecutive naturals, for example, 16851 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (516607).

Almost surely, 26130980 is an apocalyptic number.

6130980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6130980 is an abundant number, since it is smaller than the sum of its proper divisors (12466872).

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

6130980 is a wasteful number, since it uses less digits than its factorization.

6130980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34076 (or 34071 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6130980 is about 2476.0815818547. The cubic root of 6130980 is about 183.0248107541.

The spelling of 6130980 in words is "six million, one hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 34061 68122 102183 136244 170305 204366 306549 340610 408732 510915 613098 681220 1021830 1226196 1532745 2043660 3065490 6130980