Search a number
-
+
201010536 = 233241149457
BaseRepresentation
bin10111111101100…
…10110101101000
3112000020101121200
423332302311220
5402424314121
631540204200
74660363356
oct1376626550
9460211550
10201010536
11a3513211
1257399660
133284c25c
141c9a67d6
15129a8a26
hexbfb2d68

201010536 has 96 divisors (see below), whose sum is σ = 562653000. Its totient is φ = 64788480.

The previous prime is 201010489. The next prime is 201010553. The reversal of 201010536 is 635010102.

It can be written as a sum of positive squares in 4 ways, for example, as 119902500 + 81108036 = 10950^2 + 9006^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 439620 + ... + 440076.

Almost surely, 2201010536 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 201010536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281326500).

201010536 is an abundant number, since it is smaller than the sum of its proper divisors (361642464).

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

201010536 is a wasteful number, since it uses less digits than its factorization.

201010536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 201010536 is about 14177.8184499591. The cubic root of 201010536 is about 585.7868351480.

Adding to 201010536 its reverse (635010102), we get a palindrome (836020638).

The spelling of 201010536 in words is "two hundred one million, ten thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 149 164 246 298 328 369 447 457 492 596 738 894 914 984 1192 1341 1371 1476 1788 1828 2682 2742 2952 3576 3656 4113 5364 5484 6109 8226 10728 10968 12218 16452 18327 18737 24436 32904 36654 37474 48872 54981 56211 68093 73308 74948 109962 112422 136186 146616 149896 168633 204279 219924 224844 272372 337266 408558 439848 449688 544744 612837 674532 817116 1225674 1349064 1634232 2451348 2791813 4902696 5583626 8375439 11167252 16750878 22334504 25126317 33501756 50252634 67003512 100505268 201010536