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65070 = 2335241
BaseRepresentation
bin1111111000101110
310022021000
433320232
54040240
61221130
7360465
oct177056
9108230
1065070
1144985
12317a6
1323805
14199dc
1514430
hexfe2e

65070 has 32 divisors (see below), whose sum is σ = 174240. Its totient is φ = 17280.

The previous prime is 65063. The next prime is 65071. The reversal of 65070 is 7056.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65071) by changing a digit.

65070 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 150 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

265070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120).

65070 is an abundant number, since it is smaller than the sum of its proper divisors (109170).

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

65070 is a wasteful number, since it uses less digits than its factorization.

65070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 65070 is about 255.0882200338. The cubic root of 65070 is about 40.2216857823.

The spelling of 65070 in words is "sixty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 241 270 482 723 1205 1446 2169 2410 3615 4338 6507 7230 10845 13014 21690 32535 65070