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10427768 = 2313100267
BaseRepresentation
bin100111110001…
…110101111000
3201121210012122
4213301311320
510132142033
61011300412
7154430441
oct47616570
921553178
1010427768
11598259a
1235aa708
1322114a0
1415562c8
15daea98
hex9f1d78

10427768 has 16 divisors (see below), whose sum is σ = 21056280. Its totient is φ = 4812768.

The previous prime is 10427761. The next prime is 10427773. The reversal of 10427768 is 86772401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50030 + ... + 50237.

Almost surely, 210427768 is an apocalyptic number.

It is an amenable number.

10427768 is an abundant number, since it is smaller than the sum of its proper divisors (10628512).

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

10427768 is a wasteful number, since it uses less digits than its factorization.

10427768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100286 (or 100282 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 10427768 is about 3229.2054750356. The cubic root of 10427768 is about 218.4726719030.

It can be divided in two parts, 104 and 27768, that added together give a palindrome (27872).

The spelling of 10427768 in words is "ten million, four hundred twenty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 100267 200534 401068 802136 1303471 2606942 5213884 10427768