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201045306 = 237111133851
BaseRepresentation
bin10111111101110…
…11010100111010
3112000022011022110
423332323110322
5402431422211
631541033150
74660566630
oct1376732472
9460264273
10201045306
11a3537350
12573b57b6
1332862027
141c9b5350
15129b3ea6
hexbfbb53a

201045306 has 64 divisors (see below), whose sum is σ = 505875456. Its totient is φ = 51744000.

The previous prime is 201045293. The next prime is 201045311. The reversal of 201045306 is 603540102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50281 + ... + 54131.

It is an arithmetic number, because the mean of its divisors is an integer number (7904304).

Almost surely, 2201045306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201045306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252937728).

201045306 is an abundant number, since it is smaller than the sum of its proper divisors (304830150).

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

201045306 is a wasteful number, since it uses less digits than its factorization.

201045306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 201045306 is about 14179.0446081533. The cubic root of 201045306 is about 585.8206088901.

Adding to 201045306 its reverse (603540102), we get a palindrome (804585408).

The spelling of 201045306 in words is "two hundred one million, forty-five thousand, three hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 154 226 231 339 462 678 791 1243 1582 2373 2486 3729 3851 4746 7458 7702 8701 11553 17402 23106 26103 26957 42361 52206 53914 80871 84722 127083 161742 254166 296527 435163 593054 870326 889581 1305489 1779162 2610978 3046141 4786793 6092282 9138423 9573586 14360379 18276846 28720758 33507551 67015102 100522653 201045306