Search a number
-
+
10040094 = 2321931947
BaseRepresentation
bin100110010011…
…001100011110
3200220002102100
4212103030132
510032240334
6555105530
7151224261
oct46231436
920802370
1010040094
1157382a9
1234422a6
132106bac
141494cd8
15d34c99
hex99331e

10040094 has 48 divisors (see below), whose sum is σ = 23662080. Its totient is φ = 3065040.

The previous prime is 10040087. The next prime is 10040111. The reversal of 10040094 is 49004001.

10040094 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10129 + ... + 11075.

It is an arithmetic number, because the mean of its divisors is an integer number (492960).

Almost surely, 210040094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831040).

10040094 is an abundant number, since it is smaller than the sum of its proper divisors (13621986).

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

10040094 is a wasteful number, since it uses less digits than its factorization.

10040094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10040094 is about 3168.6107365847. The cubic root of 10040094 is about 215.7310180601.

Adding to 10040094 its reverse (49004001), we get a palindrome (59044095).

The spelling of 10040094 in words is "ten million, forty thousand, ninety-four".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 947 1178 1767 1894 2841 3534 5301 5682 8523 10602 17046 17993 29357 35986 53979 58714 88071 107958 161937 176142 264213 323874 528426 557783 1115566 1673349 3346698 5020047 10040094