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10368216 = 2333232087
BaseRepresentation
bin100111100011…
…010011011000
3201111202112000
4213203103120
510123240331
61010121000
7154062015
oct47432330
921452460
1010368216
115941881
123580160
1321c0351
14153c70c
15d9c0e6
hex9e34d8

10368216 has 64 divisors (see below), whose sum is σ = 30067200. Its totient is φ = 3304224.

The previous prime is 10368209. The next prime is 10368227. The reversal of 10368216 is 61286301.

10368216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10368216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3925 + ... + 6011.

It is an arithmetic number, because the mean of its divisors is an integer number (469800).

Almost surely, 210368216 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 10368216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033600).

10368216 is an abundant number, since it is smaller than the sum of its proper divisors (19698984).

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

10368216 is a wasteful number, since it uses less digits than its factorization.

10368216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2115 counting only the distinct ones).

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

The square root of 10368216 is about 3219.9714284447. The cubic root of 10368216 is about 218.0559853965.

The spelling of 10368216 in words is "ten million, three hundred sixty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2087 2484 4174 4968 6261 8348 12522 16696 18783 25044 37566 48001 50088 56349 75132 96002 112698 144003 150264 192004 225396 288006 384008 432009 450792 576012 864018 1152024 1296027 1728036 2592054 3456072 5184108 10368216