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26068960 = 255612671
BaseRepresentation
bin110001101110…
…0011111100000
31211001102220001
41203130133200
523133201320
62330425344
7434403541
oct143343740
954042801
1026068960
1113795aa5
128892254
135529928
1436684c8
15244e20a
hex18dc7e0

26068960 has 48 divisors (see below), whose sum is σ = 62620992. Its totient is φ = 10252800.

The previous prime is 26068949. The next prime is 26068961. The reversal of 26068960 is 6986062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26068961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8425 + ... + 11095.

It is an arithmetic number, because the mean of its divisors is an integer number (1304604).

Almost surely, 226068960 is an apocalyptic number.

26068960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31310496).

26068960 is an abundant number, since it is smaller than the sum of its proper divisors (36552032).

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

26068960 is a wasteful number, since it uses less digits than its factorization.

26068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 26068960 is about 5105.7771200866. Note that the first 3 decimals coincide. The cubic root of 26068960 is about 296.5112906586.

It can be divided in two parts, 26068 and 960, that added together give a triangular number (27028 = T232).

The spelling of 26068960 in words is "twenty-six million, sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 2671 4880 5342 9760 10684 13355 21368 26710 42736 53420 85472 106840 162931 213680 325862 427360 651724 814655 1303448 1629310 2606896 3258620 5213792 6517240 13034480 26068960