Search a number
-
+
10046660 = 22513172273
BaseRepresentation
bin100110010100…
…110011000100
3200220102102112
4212110303010
510032443120
6555200152
7151252361
oct46246304
920812375
1010046660
115742228
123446058
132109b90
141497468
15d36bc5
hex994cc4

10046660 has 48 divisors (see below), whose sum is σ = 24068016. Its totient is φ = 3489792.

The previous prime is 10046657. The next prime is 10046669. The reversal of 10046660 is 6664001.

It can be written as a sum of positive squares in 8 ways, for example, as 111556 + 9935104 = 334^2 + 3152^2 .

It is not an unprimeable number, because it can be changed into a prime (10046669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3284 + ... + 5556.

It is an arithmetic number, because the mean of its divisors is an integer number (501417).

Almost surely, 210046660 is an apocalyptic number.

10046660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10046660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034008).

10046660 is an abundant number, since it is smaller than the sum of its proper divisors (14021356).

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

10046660 is a wasteful number, since it uses less digits than its factorization.

10046660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10046660 is about 3169.6466680058. The cubic root of 10046660 is about 215.7780355877.

The spelling of 10046660 in words is "ten million, forty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 2273 4420 4546 9092 11365 22730 29549 38641 45460 59098 77282 118196 147745 154564 193205 295490 386410 502333 590980 772820 1004666 2009332 2511665 5023330 10046660