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10168116 = 22371923277
BaseRepresentation
bin100110110010…
…011100110100
3201010121000220
4212302130310
510100334431
61001534340
7152266440
oct46623464
921117026
1010168116
115815502
1234a43b0
13215024a
1414c9820
15d5cb96
hex9b2734

10168116 has 96 divisors (see below), whose sum is σ = 29890560. Its totient is φ = 2623104.

The previous prime is 10168111. The next prime is 10168117. The reversal of 10168116 is 61186101.

10168116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10168111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36570 + ... + 36846.

It is an arithmetic number, because the mean of its divisors is an integer number (311360).

Almost surely, 210168116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10168116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945280).

10168116 is an abundant number, since it is smaller than the sum of its proper divisors (19722444).

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

10168116 is a wasteful number, since it uses less digits than its factorization.

10168116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 10168116 is about 3188.7483437863. The cubic root of 10168116 is about 216.6440823271.

The spelling of 10168116 in words is "ten million, one hundred sixty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 57 69 76 84 92 114 133 138 161 228 266 276 277 322 399 437 483 532 554 644 798 831 874 966 1108 1311 1596 1662 1748 1932 1939 2622 3059 3324 3878 5244 5263 5817 6118 6371 7756 9177 10526 11634 12236 12742 15789 18354 19113 21052 23268 25484 31578 36708 36841 38226 44597 63156 73682 76452 89194 110523 121049 133791 147364 178388 221046 242098 267582 363147 442092 484196 535164 726294 847343 1452588 1694686 2542029 3389372 5084058 10168116