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10326816 = 2532231559
BaseRepresentation
bin100111011001…
…001100100000
3201102122201200
4213121030200
510120424231
61005201200
7153530223
oct47311440
921378650
1010326816
115913765
123560200
1321a7556
14152b5ba
15d8ebe6
hex9d9320

10326816 has 72 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 3290496.

The previous prime is 10326791. The next prime is 10326817. The reversal of 10326816 is 61862301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10326816.

It is not an unprimeable number, because it can be changed into a prime (10326817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5845 + ... + 7403.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 210326816 is an apocalyptic number.

10326816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10326816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

10326816 is an abundant number, since it is smaller than the sum of its proper divisors (20336544).

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

10326816 is a wasteful number, since it uses less digits than its factorization.

10326816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10326816 is about 3213.5363697957. The cubic root of 10326816 is about 217.7653677350.

The spelling of 10326816 in words is "ten million, three hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1559 1656 2208 3118 3312 4677 6236 6624 9354 12472 14031 18708 24944 28062 35857 37416 49888 56124 71714 74832 107571 112248 143428 149664 215142 224496 286856 322713 430284 448992 573712 645426 860568 1147424 1290852 1721136 2581704 3442272 5163408 10326816