Search a number
-
+
10133874 = 2322512243
BaseRepresentation
bin100110101010…
…000101110010
3201001212001200
4212222011302
510043240444
61001112030
7152064552
oct46520562
921055050
1010133874
1157a1803
123488616
13213a79a
1414bb162
15d52969
hex9aa172

10133874 has 24 divisors (see below), whose sum is σ = 22054032. Its totient is φ = 3363000.

The previous prime is 10133867. The next prime is 10133909. The reversal of 10133874 is 47833101.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 3397 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (918918).

Almost surely, 210133874 is an apocalyptic number.

10133874 is an abundant number, since it is smaller than the sum of its proper divisors (11920158).

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

10133874 is a wasteful number, since it uses less digits than its factorization.

10133874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10133874 is about 3183.3746245141. The cubic root of 10133874 is about 216.4006196717.

Adding to 10133874 its reverse (47833101), we get a palindrome (57966975).

The spelling of 10133874 in words is "ten million, one hundred thirty-three thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 251 502 753 1506 2243 2259 4486 4518 6729 13458 20187 40374 562993 1125986 1688979 3377958 5066937 10133874