Search a number
-
+
10066340 = 225503317
BaseRepresentation
bin100110011001…
…100110100100
3200221102102102
4212121212210
510034110330
6555431232
7151363634
oct46314644
920842372
1010066340
115755a99
123455518
132115b1b
1414a06c4
15d3c945
hex9999a4

10066340 has 12 divisors (see below), whose sum is σ = 21139356. Its totient is φ = 4026528.

The previous prime is 10066337. The next prime is 10066373. The reversal of 10066340 is 4366001.

It can be written as a sum of positive squares in 2 ways, for example, as 1162084 + 8904256 = 1078^2 + 2984^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 503317 = 10066340 / (1 + 0 + 0 + 6 + 6 + 3 + 4 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251639 + ... + 251678.

It is an arithmetic number, because the mean of its divisors is an integer number (1761613).

Almost surely, 210066340 is an apocalyptic number.

10066340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066340 is an abundant number, since it is smaller than the sum of its proper divisors (11073016).

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

10066340 is a wasteful number, since it uses less digits than its factorization.

10066340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503326 (or 503324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 10066340 is about 3172.7495961705. The cubic root of 10066340 is about 215.9188366758.

The spelling of 10066340 in words is "ten million, sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 503317 1006634 2013268 2516585 5033170 10066340