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10690420 = 2251341117
BaseRepresentation
bin101000110001…
…111101110100
3202010010111111
4220301331310
510214043140
61021044404
7156603256
oct50617564
922103444
1010690420
116041964
1236b6704
1322a3bc0
1415c3cd6
15e127ea
hexa31f74

10690420 has 24 divisors (see below), whose sum is σ = 24177384. Its totient is φ = 3947136.

The previous prime is 10690411. The next prime is 10690441. The reversal of 10690420 is 2409601.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 10163344 = 726^2 + 3188^2 .

It is a super-2 number, since 2×106904202 = 228570159552800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10690391 and 10690400.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20299 + ... + 20818.

It is an arithmetic number, because the mean of its divisors is an integer number (1007391).

Almost surely, 210690420 is an apocalyptic number.

10690420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10690420 is an abundant number, since it is smaller than the sum of its proper divisors (13486964).

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

10690420 is a wasteful number, since it uses less digits than its factorization.

10690420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41139 (or 41137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10690420 is about 3269.6207731173. The cubic root of 10690420 is about 220.2917616581.

The spelling of 10690420 in words is "ten million, six hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 41117 82234 164468 205585 411170 534521 822340 1069042 2138084 2672605 5345210 10690420