Search a number
-
+
10374060 = 2235374673
BaseRepresentation
bin100111100100…
…101110101100
3201112001112110
4213210232230
510123432220
61010204020
7154115034
oct47445654
921461473
1010374060
115946204
123583610
1321c2bc8
1415408c4
15d9dbe0
hex9e4bac

10374060 has 48 divisors (see below), whose sum is σ = 29838816. Its totient is φ = 2691072.

The previous prime is 10374047. The next prime is 10374071. The reversal of 10374060 is 6047301.

It is a super-2 number, since 2×103740602 = 215242241767200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 117 + ... + 4556.

It is an arithmetic number, because the mean of its divisors is an integer number (621642).

Almost surely, 210374060 is an apocalyptic number.

10374060 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 10374060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919408).

10374060 is an abundant number, since it is smaller than the sum of its proper divisors (19464756).

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

10374060 is a wasteful number, since it uses less digits than its factorization.

10374060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10374060 is about 3220.8787620772. The cubic root of 10374060 is about 218.0969464719.

The spelling of 10374060 in words is "ten million, three hundred seventy-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4673 9346 14019 18692 23365 28038 46730 56076 70095 93460 140190 172901 280380 345802 518703 691604 864505 1037406 1729010 2074812 2593515 3458020 5187030 10374060