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10520680 = 23519109127
BaseRepresentation
bin101000001000…
…100001101000
3201210111122211
4220020201220
510143130210
61013254504
7155265352
oct50104150
921714584
1010520680
115a36385
123634434
132244871
14157c0d2
15dcc38a
hexa08868

10520680 has 64 divisors (see below), whose sum is σ = 25344000. Its totient is φ = 3919104.

The previous prime is 10520677. The next prime is 10520701. The reversal of 10520680 is 8602501.

It is a happy number.

It is a super-2 number, since 2×105206802 = 221369415324800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82777 + ... + 82903.

It is an arithmetic number, because the mean of its divisors is an integer number (396000).

Almost surely, 210520680 is an apocalyptic number.

10520680 is a gapful number since it is divisible by the number (10) 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 10520680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672000).

10520680 is an abundant number, since it is smaller than the sum of its proper divisors (14823320).

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

10520680 is a wasteful number, since it uses less digits than its factorization.

10520680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10520680 is about 3243.5597728422. The cubic root of 10520680 is about 219.1196221720.

The spelling of 10520680 in words is "ten million, five hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 109 127 152 190 218 254 380 436 508 545 635 760 872 1016 1090 1270 2071 2180 2413 2540 4142 4360 4826 5080 8284 9652 10355 12065 13843 16568 19304 20710 24130 27686 41420 48260 55372 69215 82840 96520 110744 138430 263017 276860 526034 553720 1052068 1315085 2104136 2630170 5260340 10520680