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10311424 = 2847857
BaseRepresentation
bin100111010101…
…011100000000
3201101212121121
4213111130000
510114431144
61005002024
7153434314
oct47253400
921355547
1010311424
115903142
123553314
1321a0546
141525b44
15d8a384
hex9d5700

10311424 has 36 divisors (see below), whose sum is σ = 21045024. Its totient is φ = 5040128.

The previous prime is 10311421. The next prime is 10311439. The reversal of 10311424 is 42411301.

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 = 10311398 and 10311407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11604 + ... + 12460.

It is an arithmetic number, because the mean of its divisors is an integer number (584584).

Almost surely, 210311424 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 10311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10522512).

10311424 is an abundant number, since it is smaller than the sum of its proper divisors (10733600).

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

10311424 is an frugal number, since it uses more digits than its factorization.

10311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10311424 is about 3211.1406073232. The cubic root of 10311424 is about 217.6571216820.

Adding to 10311424 its reverse (42411301), we get a palindrome (52722725).

The spelling of 10311424 in words is "ten million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 857 1504 1714 3008 3428 6016 6856 12032 13712 27424 40279 54848 80558 109696 161116 219392 322232 644464 1288928 2577856 5155712 10311424