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2168608 = 25132401
BaseRepresentation
bin1000010001011100100000
311002011202211
420101130200
51023343413
6114251504
724301321
oct10213440
94064684
102168608
111251342
12886b94
135ac100
14406448
152cc83d
hex211720

2168608 has 36 divisors (see below), whose sum is σ = 4634658. Its totient is φ = 998400.

The previous prime is 2168599. The next prime is 2168609. The reversal of 2168608 is 8068612.

It can be written as a sum of positive squares in 3 ways, for example, as 1774224 + 394384 = 1332^2 + 628^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2168608.

It is not an unprimeable number, because it can be changed into a prime (2168609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5208 + ... + 5608.

22168608 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 2168608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317329).

2168608 is an abundant number, since it is smaller than the sum of its proper divisors (2466050).

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

2168608 is a wasteful number, since it uses less digits than its factorization.

2168608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2168608 is about 1472.6194348847. The cubic root of 2168608 is about 129.4375702225.

The spelling of 2168608 in words is "two million, one hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 401 416 676 802 1352 1604 2704 3208 5213 5408 6416 10426 12832 20852 41704 67769 83408 135538 166816 271076 542152 1084304 2168608