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8266080 = 2535171013
BaseRepresentation
bin11111100010000101100000
3120112221221010
4133202011200
54104003310
6453100520
7130155234
oct37420540
916487833
108266080
114736479
122927740
131935594
1411525c4
15ad4320
hex7e2160

8266080 has 96 divisors (see below), whose sum is σ = 27597024. Its totient is φ = 2072576.

The previous prime is 8266079. The next prime is 8266081. The reversal of 8266080 is 806628.

It is an interprime number because it is at equal distance from previous prime (8266079) and next prime (8266081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8266081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7654 + ... + 8666.

It is an arithmetic number, because the mean of its divisors is an integer number (287469).

Almost surely, 28266080 is an apocalyptic number.

8266080 is a gapful number since it is divisible by the number (80) 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 8266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798512).

8266080 is an abundant number, since it is smaller than the sum of its proper divisors (19330944).

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

8266080 is a wasteful number, since it uses less digits than its factorization.

8266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8266080 is about 2875.0791293458. The cubic root of 8266080 is about 202.1931949015.

The spelling of 8266080 in words is "eight million, two hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1013 1020 1360 1632 2026 2040 2720 3039 4052 4080 5065 6078 8104 8160 10130 12156 15195 16208 17221 20260 24312 30390 32416 34442 40520 48624 51663 60780 68884 81040 86105 97248 103326 121560 137768 162080 172210 206652 243120 258315 275536 344420 413304 486240 516630 551072 688840 826608 1033260 1377680 1653216 2066520 2755360 4133040 8266080