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10522080 = 253257307
BaseRepresentation
bin101000001000…
…110111100000
3201210120120200
4220020313200
510143201310
61013305200
7155302422
oct50106740
921716520
1010522080
115a37438
123635200
1322453aa
14157c812
15dcc9c0
hexa08de0

10522080 has 72 divisors (see below), whose sum is σ = 35911512. Its totient is φ = 2805504.

The previous prime is 10522069. The next prime is 10522087. The reversal of 10522080 is 8022501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105220802 = 221428335052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2214 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (498771).

Almost surely, 210522080 is an apocalyptic number.

10522080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10522080 is an abundant number, since it is smaller than the sum of its proper divisors (25389432).

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

10522080 is a wasteful number, since it uses less digits than its factorization.

10522080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10522080 is about 3243.7755779338. The cubic root of 10522080 is about 219.1293412480.

Adding to 10522080 its reverse (8022501), we get a palindrome (18544581).

The spelling of 10522080 in words is "ten million, five hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7307 14614 21921 29228 36535 43842 58456 65763 73070 87684 109605 116912 131526 146140 175368 219210 233824 263052 292280 328815 350736 438420 526104 584560 657630 701472 876840 1052208 1169120 1315260 1753680 2104416 2630520 3507360 5261040 10522080