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26130016 = 2511193907
BaseRepresentation
bin110001110101…
…1011001100000
31211011112122101
41203223121200
523142130031
62332020144
7435046543
oct143533140
954145571
1026130016
1113827960
128901654
13554b663
14368285a
152462361
hex18eb660

26130016 has 48 divisors (see below), whose sum is σ = 59088960. Its totient is φ = 11249280.

The previous prime is 26130011. The next prime is 26130017. The reversal of 26130016 is 61003162.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 26129975 and 26130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26130011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4735 + ... + 8641.

It is an arithmetic number, because the mean of its divisors is an integer number (1231020).

Almost surely, 226130016 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 26130016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29544480).

26130016 is an abundant number, since it is smaller than the sum of its proper divisors (32958944).

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

26130016 is a wasteful number, since it uses less digits than its factorization.

26130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 26130016 is about 5111.7527326740. The cubic root of 26130016 is about 296.7425961156.

Adding to 26130016 its reverse (61003162), we get a palindrome (87133178).

The spelling of 26130016 in words is "twenty-six million, one hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 3907 6688 7814 15628 31256 42977 62512 74233 85954 125024 148466 171908 296932 343816 593864 687632 816563 1187728 1375264 1633126 2375456 3266252 6532504 13065008 26130016