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8196560 = 245293533
BaseRepresentation
bin11111010001000111010000
3120102102120022
4133101013100
54044242220
6451403012
7126445451
oct37210720
916372508
108196560
114699219
1228b3468
13190ca48
141135128
15abd925
hex7d11d0

8196560 has 40 divisors (see below), whose sum is σ = 19719720. Its totient is φ = 3164672.

The previous prime is 8196557. The next prime is 8196563. The reversal of 8196560 is 656918.

It is an interprime number because it is at equal distance from previous prime (8196557) and next prime (8196563).

It can be written as a sum of positive squares in 4 ways, for example, as 1926544 + 6270016 = 1388^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 8196560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8196563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 554 + ... + 4086.

It is an arithmetic number, because the mean of its divisors is an integer number (492993).

Almost surely, 28196560 is an apocalyptic number.

8196560 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 8196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859860).

8196560 is an abundant number, since it is smaller than the sum of its proper divisors (11523160).

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

8196560 is a wasteful number, since it uses less digits than its factorization.

8196560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 8196560 is about 2862.9634995927. The cubic root of 8196560 is about 201.6247649513.

The spelling of 8196560 in words is "eight million, one hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3533 7066 14132 17665 28264 35330 56528 70660 102457 141320 204914 282640 409828 512285 819656 1024570 1639312 2049140 4098280 8196560