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261386070 = 235114119319
BaseRepresentation
bin11111001010001…
…10111101010110
3200012211210021120
433211012331112
51013403323240
641534224410
76322513341
oct1745067526
9605753246
10261386070
11124600250
1273655106
13421cb11a
1426a01458
1517e32ad0
hexf946f56

261386070 has 64 divisors (see below), whose sum is σ = 701084160. Its totient is φ = 61817600.

The previous prime is 261386039. The next prime is 261386113. The reversal of 261386070 is 70683162.

261386070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3871 + ... + 23189.

It is an arithmetic number, because the mean of its divisors is an integer number (10954440).

Almost surely, 2261386070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261386070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350542080).

261386070 is an abundant number, since it is smaller than the sum of its proper divisors (439698090).

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

261386070 is a wasteful number, since it uses less digits than its factorization.

261386070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19381.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 261386070 is about 16167.4385726373. The cubic root of 261386070 is about 639.3825995796.

The spelling of 261386070 in words is "two hundred sixty-one million, three hundred eighty-six thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 13530 19319 38638 57957 96595 115914 193190 212509 289785 425018 579570 637527 792079 1062545 1275054 1584158 2125090 2376237 3187635 3960395 4752474 6375270 7920790 8712869 11881185 17425738 23762370 26138607 43564345 52277214 87128690 130693035 261386070