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10490768 = 241738569
BaseRepresentation
bin101000000001…
…001110010000
3201201222121222
4220001032100
510141201033
61012504212
7155112221
oct50011620
921658558
1010490768
115a15962
12361b068
132234072
141571248
15dc3598
hexa01390

10490768 has 20 divisors (see below), whose sum is σ = 21522060. Its totient is φ = 4936704.

The previous prime is 10490761. The next prime is 10490771. The reversal of 10490768 is 86709401.

It can be written as a sum of positive squares in 2 ways, for example, as 7573504 + 2917264 = 2752^2 + 1708^2 .

It is a super-2 number, since 2×104907682 = 220112426459648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19013 + ... + 19556.

It is an arithmetic number, because the mean of its divisors is an integer number (1076103).

Almost surely, 210490768 is an apocalyptic number.

It is an amenable number.

10490768 is an abundant number, since it is smaller than the sum of its proper divisors (11031292).

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

10490768 is a wasteful number, since it uses less digits than its factorization.

10490768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38594 (or 38588 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10490768 is about 3238.9455074144. The cubic root of 10490768 is about 218.9117608417.

The spelling of 10490768 in words is "ten million, four hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 38569 77138 154276 308552 617104 655673 1311346 2622692 5245384 10490768