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10401424 = 2411113523
BaseRepresentation
bin100111101011…
…011010010000
3201120110001221
4213223122100
510130321144
61010534424
7154260565
oct47533220
921513057
1010401424
115964820
123597414
1322024b7
14154a86c
15da6d84
hex9eb690

10401424 has 40 divisors (see below), whose sum is σ = 22221792. Its totient is φ = 4677120.

The previous prime is 10401421. The next prime is 10401431. The reversal of 10401424 is 42410401.

10401424 is digitally balanced in base 2, because in such base 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 10401398 and 10401407.

It is not an unprimeable number, because it can be changed into a prime (10401421) 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, 19627 + ... + 20149.

Almost surely, 210401424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110896).

10401424 is an abundant number, since it is smaller than the sum of its proper divisors (11820368).

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

10401424 is a wasteful number, since it uses less digits than its factorization.

10401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 10401424 is about 3225.1238735900. The cubic root of 10401424 is about 218.2885386157.

Adding to 10401424 its reverse (42410401), we get a palindrome (52811825).

The spelling of 10401424 in words is "ten million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 523 904 1046 1243 1808 2092 2486 4184 4972 5753 8368 9944 11506 19888 23012 46024 59099 92048 118198 236396 472792 650089 945584 1300178 2600356 5200712 10401424