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10041216 = 27379331
BaseRepresentation
bin100110010011…
…011110000000
3200220010221220
4212103132000
510032304331
6555115040
7151230453
oct46233600
920803856
1010041216
115739129
123442a80
132107563
14149549a
15d35296
hex993780

10041216 has 64 divisors (see below), whose sum is σ = 27091200. Its totient is φ = 3294720.

The previous prime is 10041197. The next prime is 10041217. The reversal of 10041216 is 61214001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10041195 and 10041204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041217) 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, 30171 + ... + 30501.

It is an arithmetic number, because the mean of its divisors is an integer number (423300).

Almost surely, 210041216 is an apocalyptic number.

10041216 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 10041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545600).

10041216 is an abundant number, since it is smaller than the sum of its proper divisors (17049984).

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

10041216 is an equidigital number, since it uses as much as digits as its factorization.

10041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10041216 is about 3168.7877808399. The cubic root of 10041216 is about 215.7390538808.

Adding to 10041216 its reverse (61214001), we get a palindrome (71255217).

The spelling of 10041216 in words is "ten million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 331 384 474 632 662 948 993 1264 1324 1896 1986 2528 2648 3792 3972 5056 5296 7584 7944 10112 10592 15168 15888 21184 26149 30336 31776 42368 52298 63552 78447 104596 127104 156894 209192 313788 418384 627576 836768 1255152 1673536 2510304 3347072 5020608 10041216