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11820963 = 371173701
BaseRepresentation
bin101101000101…
…111110100011
3211020120022110
4231011332203
511011232323
61101210403
7202322310
oct55057643
924216273
1011820963
1167442a0
123b60a03
1325ab66b
1417d9d07
151087793
hexb45fa3

11820963 has 32 divisors (see below), whose sum is σ = 19948032. Its totient is φ = 6048000.

The previous prime is 11820959. The next prime is 11820971. The reversal of 11820963 is 36902811.

11820963 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11820963 - 22 = 11820959 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 11820963.

It is not an unprimeable number, because it can be changed into a prime (11820463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16513 + ... + 17213.

It is an arithmetic number, because the mean of its divisors is an integer number (623376).

Almost surely, 211820963 is an apocalyptic number.

11820963 is a deficient number, since it is larger than the sum of its proper divisors (8127069).

11820963 is a wasteful number, since it uses less digits than its factorization.

11820963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11820963 is about 3438.1627361136. The cubic root of 11820963 is about 227.7985485895.

The spelling of 11820963 in words is "eleven million, eight hundred twenty thousand, nine hundred sixty-three".

Divisors: 1 3 7 11 21 33 73 77 219 231 511 701 803 1533 2103 2409 4907 5621 7711 14721 16863 23133 51173 53977 153519 161931 358211 562903 1074633 1688709 3940321 11820963