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6390180 = 22325131271
BaseRepresentation
bin11000011000000110100100
3110000122200100
4120120012210
53113441210
6344544100
7105213156
oct30300644
913018610
106390180
113675045
122182030
131429794
14bc4ad6
158635c0
hex6181a4

6390180 has 72 divisors (see below), whose sum is σ = 19603584. Its totient is φ = 1684800.

The previous prime is 6390173. The next prime is 6390199. The reversal of 6390180 is 810936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23445 + ... + 23715.

It is an arithmetic number, because the mean of its divisors is an integer number (272272).

Almost surely, 26390180 is an apocalyptic number.

6390180 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 6390180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9801792).

6390180 is an abundant number, since it is smaller than the sum of its proper divisors (13213404).

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

6390180 is a wasteful number, since it uses less digits than its factorization.

6390180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 412 counting only the distinct ones).

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

The square root of 6390180 is about 2527.8805351519. The cubic root of 6390180 is about 185.5685455639.

The spelling of 6390180 in words is "six million, three hundred ninety thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 271 393 524 542 655 786 813 1084 1179 1310 1355 1572 1626 1965 2358 2439 2620 2710 3252 3930 4065 4716 4878 5420 5895 7860 8130 9756 11790 12195 16260 23580 24390 35501 48780 71002 106503 142004 177505 213006 319509 355010 426012 532515 639018 710020 1065030 1278036 1597545 2130060 3195090 6390180