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10640190 = 23511191697
BaseRepresentation
bin101000100101…
…101100111110
3202000120121010
4220211230332
510210441230
61020020050
7156303651
oct50455476
922016533
1010640190
116008150
123691626
132287092
1415ad898
15e029b0
hexa25b3e

10640190 has 64 divisors (see below), whose sum is σ = 29341440. Its totient is φ = 2442240.

The previous prime is 10640173. The next prime is 10640207. The reversal of 10640190 is 9104601.

10640190 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (10640173) and next prime (10640207).

It is a super-2 number, since 2×106401902 = 226427286472200, which contains 22 as substring.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 5422 + ... + 7118.

It is an arithmetic number, because the mean of its divisors is an integer number (458460).

Almost surely, 210640190 is an apocalyptic number.

10640190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14670720).

10640190 is an abundant number, since it is smaller than the sum of its proper divisors (18701250).

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

10640190 is a wasteful number, since it uses less digits than its factorization.

10640190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10640190 is about 3261.9304100486. The cubic root of 10640190 is about 219.9461989652.

Adding to 10640190 its reverse (9104601), we get a palindrome (19744791).

It can be divided in two parts, 106401 and 90, that added together give a triangular number (106491 = T461).

The spelling of 10640190 in words is "ten million, six hundred forty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 1697 2090 3135 3394 5091 6270 8485 10182 16970 18667 25455 32243 37334 50910 56001 64486 93335 96729 112002 161215 186670 193458 280005 322430 354673 483645 560010 709346 967290 1064019 1773365 2128038 3546730 5320095 10640190