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10305216 = 263217891
BaseRepresentation
bin100111010011…
…111011000000
3201101120002200
4213103323000
510114231331
61004513200
7153410235
oct47237300
921346080
1010305216
1158a9509
12354b800
13219a77c
14152378c
15d885e6
hex9d3ec0

10305216 has 42 divisors (see below), whose sum is σ = 29539692. Its totient is φ = 3434880.

The previous prime is 10305193. The next prime is 10305233. The reversal of 10305216 is 61250301.

10305216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8370 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (703326).

Almost surely, 210305216 is an apocalyptic number.

10305216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10305216 is an abundant number, since it is smaller than the sum of its proper divisors (19234476).

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

10305216 is a wasteful number, since it uses less digits than its factorization.

10305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17909 (or 17896 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10305216 is about 3210.1738270692. The cubic root of 10305216 is about 217.6134327059.

Adding to 10305216 its reverse (61250301), we get a palindrome (71555517).

The spelling of 10305216 in words is "ten million, three hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17891 35782 53673 71564 107346 143128 161019 214692 286256 322038 429384 572512 644076 858768 1145024 1288152 1717536 2576304 3435072 5152608 10305216