Search a number
-
+
255117016 = 237111373023
BaseRepresentation
bin11110011010011…
…00011011011000
3122210001021202101
433031030123120
51010302221031
641152013144
76215313250
oct1715143330
9583037671
10255117016
11121009210
12715311b4
1340b1481b
1425c4c960
15175e5361
hexf34c6d8

255117016 has 64 divisors (see below), whose sum is σ = 600929280. Its totient is φ = 98638080.

The previous prime is 255117013. The next prime is 255117029. The reversal of 255117016 is 610711552.

255117016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255117013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82881 + ... + 85903.

It is an arithmetic number, because the mean of its divisors is an integer number (9389520).

Almost surely, 2255117016 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 255117016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300464640).

255117016 is an abundant number, since it is smaller than the sum of its proper divisors (345812264).

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

255117016 is a wasteful number, since it uses less digits than its factorization.

255117016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 255117016 is about 15972.3829155202. The cubic root of 255117016 is about 634.2295539495.

Adding to 255117016 its reverse (610711552), we get a palindrome (865828568).

The spelling of 255117016 in words is "two hundred fifty-five million, one hundred seventeen thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 137 154 274 308 548 616 959 1096 1507 1918 3014 3023 3836 6028 6046 7672 10549 12056 12092 21098 21161 24184 33253 42196 42322 66506 84392 84644 133012 169288 232771 266024 414151 465542 828302 931084 1656604 1862168 2899057 3313208 4555661 5798114 9111322 11596228 18222644 23192456 31889627 36445288 63779254 127558508 255117016