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10319424 = 26371757
BaseRepresentation
bin100111010111…
…011001000000
3201102021120220
4213113121000
510120210144
61005103040
7153466533
oct47273100
921367526
1010319424
115909155
123557a80
1321a408b
141528a1a
15d8c919
hex9d7640

10319424 has 56 divisors (see below), whose sum is σ = 27724608. Its totient is φ = 3386880.

The previous prime is 10319423. The next prime is 10319429. The reversal of 10319424 is 42491301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10319394 and 10319403.

It is not an unprimeable number, because it can be changed into a prime (10319423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13254 + ... + 14010.

Almost surely, 210319424 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 10319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862304).

10319424 is an abundant number, since it is smaller than the sum of its proper divisors (17405184).

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

10319424 is an equidigital number, since it uses as much as digits as its factorization.

10319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10319424 is about 3212.3860291067. The cubic root of 10319424 is about 217.7133960581.

The spelling of 10319424 in words is "ten million, three hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 757 852 1136 1514 1704 2271 2272 3028 3408 4542 4544 6056 6816 9084 12112 13632 18168 24224 36336 48448 53747 72672 107494 145344 161241 214988 322482 429976 644964 859952 1289928 1719904 2579856 3439808 5159712 10319424