Search a number
-
+
259116980 = 225109118861
BaseRepresentation
bin11110111000111…
…00111110110100
3200001120111200012
433130130332310
51012313220410
641413435352
76264313043
oct1734347664
9601514605
10259116980
111232a0471
127293bb58
13418b5375
14265b055a
1517b35605
hexf71cfb4

259116980 has 24 divisors (see below), whose sum is σ = 549142440. Its totient is φ = 102695040.

The previous prime is 259116961. The next prime is 259116983. The reversal of 259116980 is 89611952.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12124324 + 246992656 = 3482^2 + 15716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259116983) 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, 57251 + ... + 61610.

It is an arithmetic number, because the mean of its divisors is an integer number (22880935).

Almost surely, 2259116980 is an apocalyptic number.

259116980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259116980 is an abundant number, since it is smaller than the sum of its proper divisors (290025460).

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

259116980 is a wasteful number, since it uses less digits than its factorization.

259116980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118979 (or 118977 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 259116980 is about 16097.1109209075. The cubic root of 259116980 is about 637.5270617757.

The spelling of 259116980 in words is "two hundred fifty-nine million, one hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 118861 237722 475444 594305 1188610 2377220 12955849 25911698 51823396 64779245 129558490 259116980