Search a number
-
+
10405320 = 233586711
BaseRepresentation
bin100111101100…
…010111001000
3201120122102020
4213230113020
510130432240
61011004440
7154305132
oct47542710
921518366
1010405320
115967742
123599720
1322041c3
14154c052
15da80d0
hex9ec5c8

10405320 has 32 divisors (see below), whose sum is σ = 31216320. Its totient is φ = 2774720.

The previous prime is 10405289. The next prime is 10405321. The reversal of 10405320 is 2350401.

10405320 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10405320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43236 + ... + 43475.

It is an arithmetic number, because the mean of its divisors is an integer number (975510).

Almost surely, 210405320 is an apocalyptic number.

10405320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405320 is an abundant number, since it is smaller than the sum of its proper divisors (20811000).

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

10405320 is a wasteful number, since it uses less digits than its factorization.

10405320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86725 (or 86721 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10405320 is about 3225.7278248482. The cubic root of 10405320 is about 218.3157895634.

Adding to 10405320 its reverse (2350401), we get a palindrome (12755721).

The spelling of 10405320 in words is "ten million, four hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 86711 173422 260133 346844 433555 520266 693688 867110 1040532 1300665 1734220 2081064 2601330 3468440 5202660 10405320