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10116768 = 253176199
BaseRepresentation
bin100110100101…
…111010100000
3201000222121010
4212211322200
510042214033
61000500520
7151663644
oct46457240
921028533
1010116768
11578a972
12347a740
132132a6c
1414b4c24
15d4c863
hex9a5ea0

10116768 has 48 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3173376.

The previous prime is 10116767. The next prime is 10116779. The reversal of 10116768 is 86761101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10116761) by changing a digit.

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, 1468 + ... + 4731.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 210116768 is an apocalyptic number.

It is an amenable number.

10116768 is an abundant number, since it is smaller than the sum of its proper divisors (18006432).

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

10116768 is a wasteful number, since it uses less digits than its factorization.

10116768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 10116768 is about 3180.6867183047. The cubic root of 10116768 is about 216.2787895336.

Adding to 10116768 its reverse (86761101), we get a palindrome (96877869).

The spelling of 10116768 in words is "ten million, one hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6199 12398 18597 24796 37194 49592 74388 99184 105383 148776 198368 210766 297552 316149 421532 595104 632298 843064 1264596 1686128 2529192 3372256 5058384 10116768