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10405413 = 321156157
BaseRepresentation
bin100111101100…
…011000100101
3201120122112200
4213230120211
510130433123
61011005113
7154305324
oct47543045
921518480
1010405413
115967817
123599799
132204265
14154c0bb
15da8143
hex9ec625

10405413 has 6 divisors (see below), whose sum is σ = 15030054. Its totient is φ = 6936936.

The previous prime is 10405393. The next prime is 10405427. The reversal of 10405413 is 31450401.

It is a happy number.

10405413 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 only one way, i.e., 5919489 + 4485924 = 2433^2 + 2118^2 .

It is not a de Polignac number, because 10405413 - 212 = 10401317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10415413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578070 + ... + 578087.

It is an arithmetic number, because the mean of its divisors is an integer number (2505009).

Almost surely, 210405413 is an apocalyptic number.

It is an amenable number.

10405413 is a deficient number, since it is larger than the sum of its proper divisors (4624641).

10405413 is a wasteful number, since it uses less digits than its factorization.

10405413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156163 (or 1156160 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10405413 is about 3225.7422401674. The cubic root of 10405413 is about 218.3164399778.

Adding to 10405413 its reverse (31450401), we get a palindrome (41855814).

The spelling of 10405413 in words is "ten million, four hundred five thousand, four hundred thirteen".

Divisors: 1 3 9 1156157 3468471 10405413