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275746240 = 26571119231
BaseRepresentation
bin10000011011111…
…000110111000000
3201012212100201201
4100123320313000
51031042334430
643210110544
76555542620
oct2033706700
9635770651
10275746240
11131719260
127841b454
1345188473
142889c880
151931c8ca
hex106f8dc0

275746240 has 336 divisors, whose sum is σ = 891869184. Its totient is φ = 78796800.

The previous prime is 275746213. The next prime is 275746243. The reversal of 275746240 is 42647572.

275746240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 275746240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275746243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8895025 + ... + 8895055.

Almost surely, 2275746240 is an apocalyptic number.

275746240 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 275746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445934592).

275746240 is an abundant number, since it is smaller than the sum of its proper divisors (616122944).

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

275746240 is a wasteful number, since it uses less digits than its factorization.

275746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 275746240 is about 16605.6086910417. The cubic root of 275746240 is about 650.8834063254.

The spelling of 275746240 in words is "two hundred seventy-five million, seven hundred forty-six thousand, two hundred forty".