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10319816 = 2313217449
BaseRepresentation
bin100111010111…
…011111001000
3201102022010102
4213113133020
510120213231
61005104532
7153500633
oct47273710
921368112
1010319816
115909481
123558148
1321a4300
141528c1a
15d8cacb
hex9d77c8

10319816 has 48 divisors (see below), whose sum is σ = 22234500. Its totient is φ = 4472832.

The previous prime is 10319783. The next prime is 10319821. The reversal of 10319816 is 61891301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3276100 + 7043716 = 1810^2 + 2654^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22760 + ... + 23208.

Almost surely, 210319816 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 10319816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117250).

10319816 is an abundant number, since it is smaller than the sum of its proper divisors (11914684).

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

10319816 is a wasteful number, since it uses less digits than its factorization.

10319816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 10319816 is about 3212.4470423651. The cubic root of 10319816 is about 217.7161527549.

The spelling of 10319816 in words is "ten million, three hundred nineteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 449 676 884 898 1352 1768 1796 2873 3592 5746 5837 7633 11492 11674 15266 22984 23348 30532 46696 61064 75881 99229 151762 198458 303524 396916 607048 793832 1289977 2579954 5159908 10319816