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10293668 = 22711191759
BaseRepresentation
bin100111010001…
…000110100100
3201100222020222
4213101012210
510113344133
61004343512
7153331460
oct47210644
921328228
1010293668
1158a0870
123544b98
132195438
14151d4a0
15d84e98
hex9d11a4

10293668 has 48 divisors (see below), whose sum is σ = 23654400. Its totient is φ = 3797280.

The previous prime is 10293629. The next prime is 10293677. The reversal of 10293668 is 86639201.

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, 4973 + ... + 6731.

It is an arithmetic number, because the mean of its divisors is an integer number (492800).

Almost surely, 210293668 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 10293668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827200).

10293668 is an abundant number, since it is smaller than the sum of its proper divisors (13360732).

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

10293668 is a wasteful number, since it uses less digits than its factorization.

10293668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 10293668 is about 3208.3746664004. The cubic root of 10293668 is about 217.5321166296.

The spelling of 10293668 in words is "ten million, two hundred ninety-three thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 1759 2926 3518 5852 7036 12313 19349 24626 33421 38698 49252 66842 77396 133684 135443 233947 270886 367631 467894 541772 735262 935788 1470524 2573417 5146834 10293668