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256205070 = 2325111371889
BaseRepresentation
bin11110100010101…
…10000100001110
3122212002120021200
433101112010032
51011042030240
641231210330
76230464362
oct1721260416
9585076250
10256205070
11121691730
12719769a6
1341105b44
14260532a2
151775c930
hexf45610e

256205070 has 96 divisors (see below), whose sum is σ = 732382560. Its totient is φ = 61624320.

The previous prime is 256205041. The next prime is 256205077. The reversal of 256205070 is 70502652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256205077) 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, 134686 + ... + 136574.

It is an arithmetic number, because the mean of its divisors is an integer number (7628985).

Almost surely, 2256205070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256205070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366191280).

256205070 is an abundant number, since it is smaller than the sum of its proper divisors (476177490).

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

256205070 is a wasteful number, since it uses less digits than its factorization.

256205070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 256205070 is about 16006.4071546365. The cubic root of 256205070 is about 635.1299215427.

The spelling of 256205070 in words is "two hundred fifty-six million, two hundred five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 137 165 198 274 330 411 495 685 822 990 1233 1370 1507 1889 2055 2466 3014 3778 4110 4521 5667 6165 7535 9042 9445 11334 12330 13563 15070 17001 18890 20779 22605 27126 28335 34002 41558 45210 56670 62337 67815 85005 103895 124674 135630 170010 187011 207790 258793 311685 374022 517586 623370 776379 935055 1293965 1552758 1870110 2329137 2587930 2846723 3881895 4658274 5693446 7763790 8540169 11645685 14233615 17080338 23291370 25620507 28467230 42700845 51241014 85401690 128102535 256205070