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10266116 = 2272947269
BaseRepresentation
bin100111001010…
…011000000100
3201022120110112
4213022120010
510112003431
61004012152
7153155240
oct47123004
921276415
1010266116
1158820a3
123531058
132185a33
141513420
15d7bc2b
hex9ca604

10266116 has 48 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 4142208.

The previous prime is 10266101. The next prime is 10266127. The reversal of 10266116 is 61166201.

It is a junction number, because it is equal to n+sod(n) for n = 10266091 and 10266100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38030 + ... + 38298.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 210266116 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 10266116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

10266116 is an abundant number, since it is smaller than the sum of its proper divisors (11506684).

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

10266116 is a wasteful number, since it uses less digits than its factorization.

10266116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10266116 is about 3204.0780265156. The cubic root of 10266116 is about 217.3378612813.

The spelling of 10266116 in words is "ten million, two hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 203 269 329 406 538 658 812 1076 1316 1363 1883 2726 3766 5452 7532 7801 9541 12643 15602 19082 25286 31204 38164 50572 54607 88501 109214 177002 218428 354004 366647 733294 1466588 2566529 5133058 10266116