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252530760 = 23352104423
BaseRepresentation
bin11110000110101…
…01000001001000
3122121011220002010
433003111001020
51004121441020
641020335520
76154322166
oct1703250110
9577156063
10252530760
1111a602109
12706a45a0
134041a5b1
1425778236
1517283de0
hexf0d5048

252530760 has 32 divisors (see below), whose sum is σ = 757592640. Its totient is φ = 67341504.

The previous prime is 252530749. The next prime is 252530771. The reversal of 252530760 is 67035252.

252530760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252530749) and next prime (252530771).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052092 + ... + 1052331.

It is an arithmetic number, because the mean of its divisors is an integer number (23674770).

Almost surely, 2252530760 is an apocalyptic number.

252530760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252530760 is an abundant number, since it is smaller than the sum of its proper divisors (505061880).

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

252530760 is a wasteful number, since it uses less digits than its factorization.

252530760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104437 (or 2104433 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 252530760 is about 15891.2164417958. The cubic root of 252530760 is about 632.0790973480.

The spelling of 252530760 in words is "two hundred fifty-two million, five hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2104423 4208846 6313269 8417692 10522115 12626538 16835384 21044230 25253076 31566345 42088460 50506152 63132690 84176920 126265380 252530760