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255793120 = 25511237189
BaseRepresentation
bin11110011111100…
…01011111100000
3122211022122012021
433033301133200
51010440334440
641214311224
76224130352
oct1717613740
9584278167
10255793120
11121430180
12717b8514
1340cc049b
1425d870d2
15176ca84a
hexf3f17e0

255793120 has 192 divisors, whose sum is σ = 705438720. Its totient is φ = 86732800.

The previous prime is 255793117. The next prime is 255793123. The reversal of 255793120 is 21397552.

It is an interprime number because it is at equal distance from previous prime (255793117) and next prime (255793123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255793123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2874036 + ... + 2874124.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2255793120 is an apocalyptic number.

255793120 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 255793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719360).

255793120 is an abundant number, since it is smaller than the sum of its proper divisors (449645600).

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

255793120 is a wasteful number, since it uses less digits than its factorization.

255793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 255793120 is about 15993.5336933399. The cubic root of 255793120 is about 634.7893322287.

The spelling of 255793120 in words is "two hundred fifty-five million, seven hundred ninety-three thousand, one hundred twenty".