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6084980 = 22511171627
BaseRepresentation
bin10111001101100101110100
3102110011000122
4113031211310
53024204410
6334231112
7102502316
oct27154564
912404018
106084980
113486810
122055498
1313508a5
14b457b6
15802e55
hex5cd974

6084980 has 48 divisors (see below), whose sum is σ = 14769216. Its totient is φ = 2081280.

The previous prime is 6084977. The next prime is 6085103. The reversal of 6084980 is 894806.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6084980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2927 + ... + 4553.

It is an arithmetic number, because the mean of its divisors is an integer number (307692).

Almost surely, 26084980 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 6084980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384608).

6084980 is an abundant number, since it is smaller than the sum of its proper divisors (8684236).

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

6084980 is a wasteful number, since it uses less digits than its factorization.

6084980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 6084980 is about 2466.7752228365. The cubic root of 6084980 is about 182.5659235161.

The spelling of 6084980 in words is "six million, eighty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1627 1870 3254 3740 6508 8135 16270 17897 27659 32540 35794 55318 71588 89485 110636 138295 178970 276590 304249 357940 553180 608498 1216996 1521245 3042490 6084980