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2163968 = 2879107
BaseRepresentation
bin1000010000010100000000
311001221101222
420100110000
51023221333
6114214212
724251642
oct10202400
94057358
102163968
111248904
12884368
135a9c71
14404892
152cb298
hex210500

2163968 has 36 divisors (see below), whose sum is σ = 4415040. Its totient is φ = 1058304.

The previous prime is 2163949. The next prime is 2163971. The reversal of 2163968 is 8693612.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20171 + ... + 20277.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

22163968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207520).

2163968 is an abundant number, since it is smaller than the sum of its proper divisors (2251072).

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

2163968 is an equidigital number, since it uses as much as digits as its factorization.

2163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 2163968 is about 1471.0431672796. The cubic root of 2163968 is about 129.3451885072.

The spelling of 2163968 in words is "two million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 107 128 158 214 256 316 428 632 856 1264 1712 2528 3424 5056 6848 8453 10112 13696 16906 20224 27392 33812 67624 135248 270496 540992 1081984 2163968