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248190560 = 2551551191
BaseRepresentation
bin11101100101100…
…01011001100000
3122022000101102222
432302301121200
51002014044220
640343330212
76102404432
oct1662613140
9568011388
10248190560
11118108272
126b150968
133c55ac27
1424d68652
1516bc7e25
hexecb1660

248190560 has 24 divisors (see below), whose sum is σ = 586350576. Its totient is φ = 99276160.

The previous prime is 248190541. The next prime is 248190563. The reversal of 248190560 is 65091842.

It is a super-2 number, since 2×2481905602 = 123197108146227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248190560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248190563) 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 3 ways as a sum of consecutive naturals, for example, 775436 + ... + 775755.

It is an arithmetic number, because the mean of its divisors is an integer number (24431274).

Almost surely, 2248190560 is an apocalyptic number.

248190560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248190560 is an abundant number, since it is smaller than the sum of its proper divisors (338160016).

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

248190560 is a wasteful number, since it uses less digits than its factorization.

248190560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551206 (or 1551198 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 248190560 is about 15754.0648722798. The cubic root of 248190560 is about 628.4370090369.

The spelling of 248190560 in words is "two hundred forty-eight million, one hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1551191 3102382 6204764 7755955 12409528 15511910 24819056 31023820 49638112 62047640 124095280 248190560