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201263260 = 225114153421
BaseRepresentation
bin10111111111100…
…00100010011100
3112000201020021211
423333300202130
5403010411020
631545434204
74662465232
oct1377604234
9460636254
10201263260
11a3676080
125749b964
133290a2b3
141ca30952
1512a0885a
hexbff089c

201263260 has 96 divisors (see below), whose sum is σ = 482376384. Its totient is φ = 69888000.

The previous prime is 201263233. The next prime is 201263261. The reversal of 201263260 is 62362102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201263261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477850 + ... + 478270.

It is an arithmetic number, because the mean of its divisors is an integer number (5024754).

Almost surely, 2201263260 is an apocalyptic number.

201263260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201263260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241188192).

201263260 is an abundant number, since it is smaller than the sum of its proper divisors (281113124).

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

201263260 is a wasteful number, since it uses less digits than its factorization.

201263260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 201263260 is about 14186.7283050039. The cubic root of 201263260 is about 586.0322292377.

The spelling of 201263260 in words is "two hundred one million, two hundred sixty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 53 55 82 106 110 164 205 212 220 265 410 421 451 530 583 820 842 902 1060 1166 1684 1804 2105 2173 2255 2332 2915 4210 4346 4510 4631 5830 8420 8692 9020 9262 10865 11660 17261 18524 21730 22313 23155 23903 34522 43460 44626 46310 47806 69044 86305 89252 92620 95612 111565 119515 172610 189871 223130 239030 245443 345220 379742 446260 478060 490886 759484 914833 949355 981772 1227215 1829666 1898710 2454430 3659332 3797420 4574165 4908860 9148330 10063163 18296660 20126326 40252652 50315815 100631630 201263260