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10216368 = 24347883
BaseRepresentation
bin100110111110…
…001110110000
3201020001020000
4212332032300
510103410433
61002550000
7152560221
oct46761660
921201200
1010216368
115848788
123508300
1321691b6
1414dd248
15d6c113
hex9be3b0

10216368 has 50 divisors (see below), whose sum is σ = 29572884. Its totient is φ = 3405024.

The previous prime is 10216309. The next prime is 10216373. The reversal of 10216368 is 86361201.

10216368 is a `hidden beast` number, since 1 + 0 + 21 + 636 + 8 = 666.

It is a super-2 number, since 2×102163682 = 208748350222848, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2646 + ... + 5237.

Almost surely, 210216368 is an apocalyptic number.

10216368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10216368 is an abundant number, since it is smaller than the sum of its proper divisors (19356516).

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

10216368 is an equidigital number, since it uses as much as digits as its factorization.

10216368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7888 counting only the distinct ones).

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

The square root of 10216368 is about 3196.3053671388. The cubic root of 10216368 is about 216.9862308719.

Adding to 10216368 its reverse (86361201), we get a palindrome (96577569).

The spelling of 10216368 in words is "ten million, two hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7883 15766 23649 31532 47298 63064 70947 94596 126128 141894 189192 212841 283788 378384 425682 567576 638523 851364 1135152 1277046 1702728 2554092 3405456 5108184 10216368