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10293168 = 243434987
BaseRepresentation
bin100111010000…
…111110110000
3201100221120110
4213100332300
510113340133
61004341320
7153330144
oct47207660
921327513
1010293168
1158a0456
123544840
132195142
14151d224
15d84c63
hex9d0fb0

10293168 has 40 divisors (see below), whose sum is σ = 27214528. Its totient is φ = 3350592.

The previous prime is 10293149. The next prime is 10293169. The reversal of 10293168 is 86139201.

10293168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10293169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430 + ... + 4557.

Almost surely, 210293168 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 10293168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13607264).

10293168 is an abundant number, since it is smaller than the sum of its proper divisors (16921360).

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

10293168 is a wasteful number, since it uses less digits than its factorization.

10293168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10293168 is about 3208.2967443801. The cubic root of 10293168 is about 217.5285944702.

The spelling of 10293168 in words is "ten million, two hundred ninety-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 4987 9974 14961 19948 29922 39896 59844 79792 119688 214441 239376 428882 643323 857764 1286646 1715528 2573292 3431056 5146584 10293168