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10378768 = 241933361
BaseRepresentation
bin100111100101…
…111000010000
3201112021222211
4213211320100
510124110033
61010241504
7154134541
oct47457020
921467884
1010378768
1159497a4
123586294
1321c50aa
1415424c8
15da02cd
hex9e5e10

10378768 has 20 divisors (see below), whose sum is σ = 20219068. Its totient is φ = 5160960.

The previous prime is 10378763. The next prime is 10378777. The reversal of 10378768 is 86787301.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 5234944 = 2268^2 + 2288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10378768.

It is not an unprimeable number, because it can be changed into a prime (10378763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1408 + ... + 4768.

Almost surely, 210378768 is an apocalyptic number.

It is an amenable number.

10378768 is a deficient number, since it is larger than the sum of its proper divisors (9840300).

10378768 is a wasteful number, since it uses less digits than its factorization.

10378768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 10378768 is about 3221.6095356204. The cubic root of 10378768 is about 218.1299340433.

The spelling of 10378768 in words is "ten million, three hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 193 386 772 1544 3088 3361 6722 13444 26888 53776 648673 1297346 2594692 5189384 10378768