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259196020 = 22512959801
BaseRepresentation
bin11110111001100…
…00010001110100
3200001201112002121
433130300101310
51012323233040
641415245324
76265062346
oct1734602164
9601645077
10259196020
11123344896
1272979844
1341912335
14265d1296
1517b4dc4a
hexf730474

259196020 has 12 divisors (see below), whose sum is σ = 544311684. Its totient is φ = 103678400.

The previous prime is 259196017. The next prime is 259196029. The reversal of 259196020 is 20691952.

259196020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36529936 + 222666084 = 6044^2 + 14922^2 .

It is a super-4 number, since 4×2591960204 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259196029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6479881 + ... + 6479920.

It is an arithmetic number, because the mean of its divisors is an integer number (45359307).

Almost surely, 2259196020 is an apocalyptic number.

259196020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259196020 is an abundant number, since it is smaller than the sum of its proper divisors (285115664).

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

259196020 is a wasteful number, since it uses less digits than its factorization.

259196020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12959810 (or 12959808 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 259196020 is about 16099.5658326552. The cubic root of 259196020 is about 637.5918780815.

The spelling of 259196020 in words is "two hundred fifty-nine million, one hundred ninety-six thousand, twenty".

Divisors: 1 2 4 5 10 20 12959801 25919602 51839204 64799005 129598010 259196020