Search a number
-
+
201245796 = 22351719641
BaseRepresentation
bin10111111111011…
…00010001100100
3112000200100100000
423333230101210
5403004331141
631545221300
74662363303
oct1377542144
9460610300
10201245796
11a3663a44
1257491830
133290236b
141ca2843a
1512a035b6
hexbfec464

201245796 has 144 divisors (see below), whose sum is σ = 588893760. Its totient is φ = 59719680.

The previous prime is 201245789. The next prime is 201245801. The reversal of 201245796 is 697542102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201245796.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313636 + ... + 314276.

It is an arithmetic number, because the mean of its divisors is an integer number (4089540).

Almost surely, 2201245796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201245796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294446880).

201245796 is an abundant number, since it is smaller than the sum of its proper divisors (387647964).

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

201245796 is a wasteful number, since it uses less digits than its factorization.

201245796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 201245796 is about 14186.1127868067. The cubic root of 201245796 is about 586.0152783663.

Adding to 201245796 its reverse (697542102), we get a palindrome (898787898).

The spelling of 201245796 in words is "two hundred one million, two hundred forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 243 306 323 324 342 459 486 513 612 641 646 684 918 969 972 1026 1282 1292 1377 1539 1836 1923 1938 2052 2564 2754 2907 3078 3846 3876 4131 4617 5508 5769 5814 6156 7692 8262 8721 9234 10897 11538 11628 12179 16524 17307 17442 18468 21794 23076 24358 26163 32691 34614 34884 36537 43588 48716 51921 52326 65382 69228 73074 78489 98073 103842 104652 109611 130764 146148 155763 156978 196146 207043 207684 219222 294219 311526 313956 328833 392292 414086 438444 588438 621129 623052 657666 828172 882657 986499 1176876 1242258 1315332 1765314 1863387 1972998 2484516 2647971 2959497 3530628 3726774 3945996 5295942 5590161 5918994 7453548 10591884 11180322 11837988 16770483 22360644 33540966 50311449 67081932 100622898 201245796