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6456060 = 22325133189
BaseRepresentation
bin11000101000001011111100
3110011000001100
4120220023330
53123043220
6350213100
7105606222
oct30501374
913130040
106456060
11370a596
1221b4190
131450770
14c00b12
15877d90
hex6282fc

6456060 has 144 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 1520640.

The previous prime is 6456041. The next prime is 6456071. The reversal of 6456060 is 606546.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 72496 + ... + 72584.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 26456060 is an apocalyptic number.

6456060 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 6456060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

6456060 is an abundant number, since it is smaller than the sum of its proper divisors (15558660).

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

6456060 is a wasteful number, since it uses less digits than its factorization.

6456060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6456060 is about 2540.8778010758. The cubic root of 6456060 is about 186.2040770823.

It can be divided in two parts, 64560 and 60, that added together give a triangular number (64620 = T359).

The spelling of 6456060 in words is "six million, four hundred fifty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 89 90 93 117 124 130 155 156 178 180 186 195 234 260 267 279 310 356 372 390 403 445 465 468 534 558 585 620 780 801 806 890 930 1068 1116 1157 1170 1209 1335 1395 1602 1612 1780 1860 2015 2314 2340 2418 2670 2759 2790 3204 3471 3627 4005 4030 4628 4836 5340 5518 5580 5785 6045 6942 7254 8010 8060 8277 10413 11036 11570 12090 13795 13884 14508 16020 16554 17355 18135 20826 23140 24180 24831 27590 33108 34710 35867 36270 41385 41652 49662 52065 55180 69420 71734 72540 82770 99324 104130 107601 124155 143468 165540 179335 208260 215202 248310 322803 358670 430404 496620 538005 645606 717340 1076010 1291212 1614015 2152020 3228030 6456060