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10061216 = 2511101283
BaseRepresentation
bin100110011000…
…010110100000
3200221011101122
4212120112200
510033424331
6555351412
7151342664
oct46302640
920834348
1010061216
115752160
123452568
1321136a9
14149c8a4
15d3b17b
hex9985a0

10061216 has 48 divisors (see below), whose sum is σ = 21899808. Its totient is φ = 4512000.

The previous prime is 10061213. The next prime is 10061221. The reversal of 10061216 is 61216001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10061194 and 10061203.

It is not an unprimeable number, because it can be changed into a prime (10061213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35411 + ... + 35693.

It is an arithmetic number, because the mean of its divisors is an integer number (456246).

Almost surely, 210061216 is an apocalyptic number.

10061216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10061216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949904).

10061216 is an abundant number, since it is smaller than the sum of its proper divisors (11838592).

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

10061216 is a wasteful number, since it uses less digits than its factorization.

10061216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10061216 is about 3171.9419919034. The cubic root of 10061216 is about 215.8821945631.

Adding to 10061216 its reverse (61216001), we get a palindrome (71277217).

It can be divided in two parts, 1006 and 1216, that added together give a palindrome (2222).

The spelling of 10061216 in words is "ten million, sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 283 352 404 566 808 1111 1132 1616 2222 2264 3113 3232 4444 4528 6226 8888 9056 12452 17776 24904 28583 35552 49808 57166 99616 114332 228664 314413 457328 628826 914656 1257652 2515304 5030608 10061216