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201304500 = 22353433121
BaseRepresentation
bin10111111111110…
…10100110110100
3112000210022212020
423333322212310
5403013221000
631550353140
74663026405
oct1377724664
9460708766
10201304500
11a36a4061
12574bb7b0
1332922cb7
141ca419ac
1512a15ba0
hexbffa9b4

201304500 has 96 divisors (see below), whose sum is σ = 600023424. Its totient is φ = 52416000.

The previous prime is 201304489. The next prime is 201304507. The reversal of 201304500 is 5403102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201304500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201304507) by changing a digit.

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, 62940 + ... + 66060.

It is an arithmetic number, because the mean of its divisors is an integer number (6250244).

Almost surely, 2201304500 is an apocalyptic number.

201304500 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 201304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300011712).

201304500 is an abundant number, since it is smaller than the sum of its proper divisors (398718924).

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

201304500 is a wasteful number, since it uses less digits than its factorization.

201304500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 201304500 is about 14188.1817016840. The cubic root of 201304500 is about 586.0722536293.

Adding to 201304500 its reverse (5403102), we get a palindrome (206707602).

The spelling of 201304500 in words is "two hundred one million, three hundred four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 125 129 150 172 215 250 258 300 375 430 500 516 645 750 860 1075 1290 1500 2150 2580 3121 3225 4300 5375 6242 6450 9363 10750 12484 12900 15605 16125 18726 21500 31210 32250 37452 46815 62420 64500 78025 93630 134203 156050 187260 234075 268406 312100 390125 402609 468150 536812 671015 780250 805218 936300 1170375 1342030 1560500 1610436 2013045 2340750 2684060 3355075 4026090 4681500 6710150 8052180 10065225 13420300 16775375 20130450 33550750 40260900 50326125 67101500 100652250 201304500