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6066180 = 2232567503
BaseRepresentation
bin10111001001000000000100
3102102012020100
4113021000010
53023104210
6334004100
7102363441
oct27110004
912365210
106066180
11347367a
122046630
131345173
14b3c9c8
157ec5c0
hex5c9004

6066180 has 72 divisors (see below), whose sum is σ = 18712512. Its totient is φ = 1590336.

The previous prime is 6066163. The next prime is 6066197. The reversal of 6066180 is 816606.

It is an interprime number because it is at equal distance from previous prime (6066163) and next prime (6066197).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11809 + ... + 12311.

It is an arithmetic number, because the mean of its divisors is an integer number (259896).

Almost surely, 26066180 is an apocalyptic number.

6066180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256).

6066180 is an abundant number, since it is smaller than the sum of its proper divisors (12646332).

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

6066180 is a wasteful number, since it uses less digits than its factorization.

6066180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6066180 is about 2462.9616318571. The cubic root of 6066180 is about 182.3777125353.

It can be divided in two parts, 606 and 6180, that added together give a triangular number (6786 = T116).

The spelling of 6066180 in words is "six million, sixty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 503 603 670 804 1005 1006 1206 1340 1509 2010 2012 2412 2515 3015 3018 4020 4527 5030 6030 6036 7545 9054 10060 12060 15090 18108 22635 30180 33701 45270 67402 90540 101103 134804 168505 202206 303309 337010 404412 505515 606618 674020 1011030 1213236 1516545 2022060 3033090 6066180