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2157963 = 317219131
BaseRepresentation
bin1000001110110110001011
311001122011120
420032312023
51023023323
6114130323
724225303
oct10166613
94048146
102157963
111244345
128809a3
135a7302
14402603
152c95e3
hex20ed8b

2157963 has 24 divisors (see below), whose sum is σ = 3241920. Its totient is φ = 1272960.

The previous prime is 2157923. The next prime is 2157989. The reversal of 2157963 is 3697512.

2157963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2157963 - 26 = 2157899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2157913) 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 23 ways as a sum of consecutive naturals, for example, 16408 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (135080).

22157963 is an apocalyptic number.

2157963 is a deficient number, since it is larger than the sum of its proper divisors (1083957).

2157963 is a wasteful number, since it uses less digits than its factorization.

2157963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 2157963 is about 1469.0006807350. Note that the first 3 decimals coincide. The cubic root of 2157963 is about 129.2254335894.

The spelling of 2157963 in words is "two million, one hundred fifty-seven thousand, nine hundred sixty-three".

Divisors: 1 3 17 19 51 57 131 289 323 393 867 969 2227 2489 5491 6681 7467 16473 37859 42313 113577 126939 719321 2157963