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10768932 = 2232299137
BaseRepresentation
bin101001000101…
…001000100100
3202021010012100
4221011020210
510224101212
61022452100
7160351206
oct51051044
922233170
1010768932
116095949
123734030
132300865
141604776
15e2abdc
hexa45224

10768932 has 18 divisors (see below), whose sum is σ = 27221558. Its totient is φ = 3589632.

The previous prime is 10768907. The next prime is 10768943. The reversal of 10768932 is 23986701.

It can be written as a sum of positive squares in only one way, i.e., 8259876 + 2509056 = 2874^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 299137 = 10768932 / (1 + 0 + 7 + 6 + 8 + 9 + 3 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149533 + ... + 149604.

Almost surely, 210768932 is an apocalyptic number.

10768932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10768932 is an abundant number, since it is smaller than the sum of its proper divisors (16452626).

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

10768932 is a wasteful number, since it uses less digits than its factorization.

10768932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299147 (or 299142 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10768932 is about 3281.6050950716. The cubic root of 10768932 is about 220.8297317398.

The spelling of 10768932 in words is "ten million, seven hundred sixty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 299137 598274 897411 1196548 1794822 2692233 3589644 5384466 10768932