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9906963 = 311833617
BaseRepresentation
bin100101110010…
…101100010011
3200122022210120
4211302230103
510014010323
6552201323
7150131163
oct45625423
920568716
109906963
115657280
123399243
13208b411
14145c5a3
15d0a5e3
hex972b13

9906963 has 16 divisors (see below), whose sum is σ = 14587776. Its totient is φ = 5930240.

The previous prime is 9906943. The next prime is 9906973. The reversal of 9906963 is 3696099.

9906963 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9906963 - 25 = 9906931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9906943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931 + ... + 4547.

It is an arithmetic number, because the mean of its divisors is an integer number (911736).

Almost surely, 29906963 is an apocalyptic number.

9906963 is a deficient number, since it is larger than the sum of its proper divisors (4680813).

9906963 is a wasteful number, since it uses less digits than its factorization.

9906963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714.

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 9906963 is about 3147.5328433553. The cubic root of 9906963 is about 214.7732456994.

The spelling of 9906963 in words is "nine million, nine hundred six thousand, nine hundred sixty-three".

Divisors: 1 3 11 33 83 249 913 2739 3617 10851 39787 119361 300211 900633 3302321 9906963