Search a number
-
+
201311280 = 243251716447
BaseRepresentation
bin10111111111111…
…00010000110000
3112000210200011100
423333330100300
5403013430110
631550444400
74663055232
oct1377742060
9460720140
10201311280
11a36a9165
1257503700
1332926101
141ca44252
1512a17bc0
hexbffc430

201311280 has 120 divisors (see below), whose sum is σ = 715882752. Its totient is φ = 50522112.

The previous prime is 201311239. The next prime is 201311291. The reversal of 201311280 is 82113102.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4017 + ... + 20463.

Almost surely, 2201311280 is an apocalyptic number.

201311280 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 201311280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357941376).

201311280 is an abundant number, since it is smaller than the sum of its proper divisors (514571472).

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

201311280 is a wasteful number, since it uses less digits than its factorization.

201311280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16483 (or 16474 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201311280 is about 14188.4206309229. The cubic root of 201311280 is about 586.0788332558.

Adding to 201311280 its reverse (82113102), we get a palindrome (283424382).

The spelling of 201311280 in words is "two hundred one million, three hundred eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 16447 32894 49341 65788 82235 98682 131576 148023 164470 197364 246705 263152 279599 296046 328940 394728 493410 559198 592092 657880 740115 789456 838797 986820 1118396 1184184 1315760 1397995 1480230 1677594 1973640 2236792 2368368 2516391 2795990 2960460 3355188 3947280 4193985 4473584 5032782 5591980 5920920 6710376 8387970 10065564 11183960 11841840 12581955 13420752 16775940 20131128 22367920 25163910 33551880 40262256 50327820 67103760 100655640 201311280