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10245816 = 2332729701
BaseRepresentation
bin100111000101…
…011010111000
3201021112121200
4213011122320
510110331231
61003334200
7153042120
oct47053270
921245550
1010245816
115868919
123521360
132179719
141509c80
15d75be6
hex9c56b8

10245816 has 96 divisors (see below), whose sum is σ = 32853600. Its totient is φ = 2822400.

The previous prime is 10245793. The next prime is 10245817. The reversal of 10245816 is 61854201.

10245816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10245816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14266 + ... + 14966.

It is an arithmetic number, because the mean of its divisors is an integer number (342225).

Almost surely, 210245816 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 10245816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426800).

10245816 is an abundant number, since it is smaller than the sum of its proper divisors (22607784).

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

10245816 is a wasteful number, since it uses less digits than its factorization.

10245816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10245816 is about 3200.9086210012. The cubic root of 10245816 is about 217.1945136634.

The spelling of 10245816 in words is "ten million, two hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 701 812 1044 1218 1402 1624 1827 2088 2103 2436 2804 3654 4206 4872 4907 5608 6309 7308 8412 9814 12618 14616 14721 16824 19628 20329 25236 29442 39256 40658 44163 50472 58884 60987 81316 88326 117768 121974 142303 162632 176652 182961 243948 284606 353304 365922 426909 487896 569212 731844 853818 1138424 1280727 1463688 1707636 2561454 3415272 5122908 10245816