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10166268 = 2237373271
BaseRepresentation
bin100110110001…
…111111111100
3201010111111110
4212301333330
510100310033
61001522020
7152261160
oct46617774
921114443
1010166268
115814082
1234a3310
13214c458
1414c8ca0
15d5c363
hex9b1ffc

10166268 has 48 divisors (see below), whose sum is σ = 27851264. Its totient is φ = 2825280.

The previous prime is 10166263. The next prime is 10166281. The reversal of 10166268 is 86266101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473 + ... + 4743.

Almost surely, 210166268 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 10166268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925632).

10166268 is an abundant number, since it is smaller than the sum of its proper divisors (17684996).

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

10166268 is a wasteful number, since it uses less digits than its factorization.

10166268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10166268 is about 3188.4585617505. The cubic root of 10166268 is about 216.6309569025.

The spelling of 10166268 in words is "ten million, one hundred sixty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 3271 6542 9813 13084 19626 22897 39252 45794 68691 91588 121027 137382 242054 274764 363081 484108 726162 847189 1452324 1694378 2541567 3388756 5083134 10166268