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10619680 = 25566373
BaseRepresentation
bin101000100000…
…101100100000
3201222112110111
4220200230200
510204312210
61015341104
7156160111
oct50405440
921875414
1010619680
115aa37a5
123681794
13227a946
1415a6208
15deb88a
hexa20b20

10619680 has 24 divisors (see below), whose sum is σ = 25089372. Its totient is φ = 4247808.

The previous prime is 10619669. The next prime is 10619681. The reversal of 10619680 is 8691601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 659344 = 3156^2 + 812^2 .

It is a super-2 number, since 2×106196802 = 225555206604800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10619681) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33027 + ... + 33346.

Almost surely, 210619680 is an apocalyptic number.

10619680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10619680 is an abundant number, since it is smaller than the sum of its proper divisors (14469692).

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

10619680 is an equidigital number, since it uses as much as digits as its factorization.

10619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66388 (or 66380 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 10619680 is about 3258.7850496773. The cubic root of 10619680 is about 219.8047855076.

It can be divided in two parts, 106196 and 80, that added together give a square (106276 = 3262).

The spelling of 10619680 in words is "ten million, six hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 66373 132746 265492 331865 530984 663730 1061968 1327460 2123936 2654920 5309840 10619680