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10679780 = 225533989
BaseRepresentation
bin101000101111…
…010111100100
3202002120220102
4220233113210
510213223110
61020523232
7156530246
oct50572744
922076812
1010679780
116034971
1236b0518
13229c0c7
1415c0096
15e0e5a5
hexa2f5e4

10679780 has 12 divisors (see below), whose sum is σ = 22427580. Its totient is φ = 4271904.

The previous prime is 10679771. The next prime is 10679789. The reversal of 10679780 is 8797601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10679771) and next prime (10679789).

It can be written as a sum of positive squares in 2 ways, for example, as 8145316 + 2534464 = 2854^2 + 1592^2 .

It is a super-3 number, since 3×106797803 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10679789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266975 + ... + 267014.

It is an arithmetic number, because the mean of its divisors is an integer number (1868965).

Almost surely, 210679780 is an apocalyptic number.

10679780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10679780 is an abundant number, since it is smaller than the sum of its proper divisors (11747800).

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

10679780 is a wasteful number, since it uses less digits than its factorization.

10679780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533998 (or 533996 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 10679780 is about 3267.9932680469. The cubic root of 10679780 is about 220.2186531369.

The spelling of 10679780 in words is "ten million, six hundred seventy-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 533989 1067978 2135956 2669945 5339890 10679780