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10116656 = 2411471223
BaseRepresentation
bin100110100101…
…111000110000
3201000222102222
4212211320300
510042213111
61000500212
7151663424
oct46457060
921028388
1010116656
11578a880
12347a668
1321329b4
1414b4b84
15d4c7db
hex9a5e30

10116656 has 40 divisors (see below), whose sum is σ = 21855744. Its totient is φ = 4496960.

The previous prime is 10116641. The next prime is 10116677. The reversal of 10116656 is 65661101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7661 + ... + 8883.

Almost surely, 210116656 is an apocalyptic number.

10116656 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 10116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927872).

10116656 is an abundant number, since it is smaller than the sum of its proper divisors (11739088).

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

10116656 is a wasteful number, since it uses less digits than its factorization.

10116656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10116656 is about 3180.6691119951. The cubic root of 10116656 is about 216.2779914093.

Adding to 10116656 its reverse (65661101), we get a palindrome (75777757).

It can be divided in two parts, 1011 and 6656, that added together give a palindrome (7667).

The spelling of 10116656 in words is "ten million, one hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 1223 2068 2446 4136 4892 8272 9784 13453 19568 26906 53812 57481 107624 114962 215248 229924 459848 632291 919696 1264582 2529164 5058328 10116656