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10401320 = 235457569
BaseRepresentation
bin100111101011…
…011000101000
3201120102221002
4213223120220
510130320240
61010534132
7154260356
oct47533050
921512832
1010401320
115964736
123597348
132202437
14154a7d6
15da6d15
hex9eb628

10401320 has 32 divisors (see below), whose sum is σ = 23495400. Its totient is φ = 4144128.

The previous prime is 10401317. The next prime is 10401361. The reversal of 10401320 is 2310401.

It is a happy number.

10401320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8491396 + 1909924 = 2914^2 + 1382^2 .

10401320 is a modest number, since divided by 1320 gives 1040 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17996 + ... + 18564.

Almost surely, 210401320 is an apocalyptic number.

10401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401320 is an abundant number, since it is smaller than the sum of its proper divisors (13094080).

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

10401320 is a wasteful number, since it uses less digits than its factorization.

10401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10401320 is about 3225.1077501380. The cubic root of 10401320 is about 218.2878110844.

Adding to 10401320 its reverse (2310401), we get a palindrome (12711721).

The spelling of 10401320 in words is "ten million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 457 569 914 1138 1828 2276 2285 2845 3656 4552 4570 5690 9140 11380 18280 22760 260033 520066 1040132 1300165 2080264 2600330 5200660 10401320