Search a number
-
+
10405830 = 235595879
BaseRepresentation
bin100111101100…
…011111000110
3201120200010010
4213230133012
510130441310
61011011050
7154306461
oct47543706
921520103
1010405830
115968066
123599a86
1322044c6
14154c2d8
15da8320
hex9ec7c6

10405830 has 32 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2727392.

The previous prime is 10405799. The next prime is 10405873. The reversal of 10405830 is 3850401.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10405797 and 10405806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1170 + ... + 4709.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 210405830 is an apocalyptic number.

10405830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10405830 is an abundant number, since it is smaller than the sum of its proper divisors (14995770).

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

10405830 is a wasteful number, since it uses less digits than its factorization.

10405830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10405830 is about 3225.8068758064. The cubic root of 10405830 is about 218.3193563041.

The spelling of 10405830 in words is "ten million, four hundred five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 5879 11758 17637 29395 35274 58790 88185 176370 346861 693722 1040583 1734305 2081166 3468610 5202915 10405830