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8028360 = 2332529769
BaseRepresentation
bin11110101000000011001000
3120002212211200
4132220003020
54023401420
6444024200
7125145204
oct36500310
916085750
108028360
11459390a
122832060
131881312
1410cdb04
15a88b90
hex7a80c8

8028360 has 96 divisors (see below), whose sum is σ = 27027000. Its totient is φ = 2064384.

The previous prime is 8028359. The next prime is 8028367. The reversal of 8028360 is 638208.

It can be written as a sum of positive squares in 4 ways, for example, as 6140484 + 1887876 = 2478^2 + 1374^2 .

It is a super-3 number, since 3×80283603 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8028367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10056 + ... + 10824.

Almost surely, 28028360 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 8028360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513500).

8028360 is an abundant number, since it is smaller than the sum of its proper divisors (18998640).

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

8028360 is a wasteful number, since it uses less digits than its factorization.

8028360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8028360 is about 2833.4360765685. The cubic root of 8028360 is about 200.2360546148.

The spelling of 8028360 in words is "eight million, twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 769 870 1044 1160 1305 1538 1740 2088 2307 2610 3076 3480 3845 4614 5220 6152 6921 7690 9228 10440 11535 13842 15380 18456 22301 23070 27684 30760 34605 44602 46140 55368 66903 69210 89204 92280 111505 133806 138420 178408 200709 223010 267612 276840 334515 401418 446020 535224 669030 802836 892040 1003545 1338060 1605672 2007090 2676120 4014180 8028360