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10521216 = 27329133
BaseRepresentation
bin101000001000…
…101010000000
3201210112101200
4220020222000
510143134331
61013301200
7155300046
oct50105200
921715350
1010521216
115a36822
123634800
132244b94
14157c396
15dcc5e6
hexa08a80

10521216 has 48 divisors (see below), whose sum is σ = 30279210. Its totient is φ = 3506688.

The previous prime is 10521169. The next prime is 10521221. The reversal of 10521216 is 61212501.

It can be written as a sum of positive squares in only one way, i.e., 7617600 + 2903616 = 2760^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105212162 = 221391972237312, which contains 22 as substring.

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, 3415 + ... + 5718.

Almost surely, 210521216 is an apocalyptic number.

10521216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10521216 is an abundant number, since it is smaller than the sum of its proper divisors (19757994).

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

10521216 is an equidigital number, since it uses as much as digits as its factorization.

10521216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9153 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10521216 is about 3243.6423970592. The cubic root of 10521216 is about 219.1233432915.

Adding to 10521216 its reverse (61212501), we get a palindrome (71733717).

It can be divided in two parts, 105 and 21216, that added together give a triangular number (21321 = T206).

The spelling of 10521216 in words is "ten million, five hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9133 18266 27399 36532 54798 73064 82197 109596 146128 164394 219192 292256 328788 438384 584512 657576 876768 1169024 1315152 1753536 2630304 3507072 5260608 10521216