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10673620 = 2251731393
BaseRepresentation
bin101000101101…
…110111010100
3202002021110021
4220231313110
510213023440
61020434524
7156503266
oct50556724
922067407
1010673620
116030281
1236a8a44
132299369
1415bbb36
15e0c84a
hexa2ddd4

10673620 has 24 divisors (see below), whose sum is σ = 23733864. Its totient is φ = 4018176.

The previous prime is 10673609. The next prime is 10673623. The reversal of 10673620 is 2637601.

It can be written as a sum of positive squares in 4 ways, for example, as 5673924 + 4999696 = 2382^2 + 2236^2 .

It is a super-2 number, since 2×106736202 = 227852327808800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673623) 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 7 ways as a sum of consecutive naturals, for example, 15357 + ... + 16036.

It is an arithmetic number, because the mean of its divisors is an integer number (988911).

Almost surely, 210673620 is an apocalyptic number.

10673620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10673620 is an abundant number, since it is smaller than the sum of its proper divisors (13060244).

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

10673620 is a wasteful number, since it uses less digits than its factorization.

10673620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31419 (or 31417 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 10673620 is about 3267.0506577034. The cubic root of 10673620 is about 220.1763049549.

The spelling of 10673620 in words is "ten million, six hundred seventy-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 31393 62786 125572 156965 313930 533681 627860 1067362 2134724 2668405 5336810 10673620