Search a number
-
+
10040345 = 572107383
BaseRepresentation
bin100110010011…
…010000011001
3200220002202122
4212103100121
510032242340
6555111025
7151225100
oct46232031
920802678
1010040345
115738507
123442475
132107043
141495037
15d34db5
hex993419

10040345 has 24 divisors (see below), whose sum is σ = 14183424. Its totient is φ = 6802656.

The previous prime is 10040333. The next prime is 10040363. The reversal of 10040345 is 54304001.

It is not a de Polignac number, because 10040345 - 218 = 9778201 is a prime.

It is a Duffinian number.

It is a Curzon 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, 26024 + ... + 26406.

It is an arithmetic number, because the mean of its divisors is an integer number (590976).

Almost surely, 210040345 is an apocalyptic number.

It is an amenable number.

10040345 is a deficient number, since it is larger than the sum of its proper divisors (4143079).

10040345 is a wasteful number, since it uses less digits than its factorization.

10040345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10040345 is about 3168.6503436006. The cubic root of 10040345 is about 215.7328157867.

Adding to 10040345 its reverse (54304001), we get a palindrome (64344346).

The spelling of 10040345 in words is "ten million, forty thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 107 245 383 535 749 1915 2681 3745 5243 13405 18767 26215 40981 93835 204905 286867 1434335 2008069 10040345