Search a number
-
+
36130300 = 2252615923
BaseRepresentation
bin1000100111010…
…0110111111100
32111222121110021
42021310313330
533222132200
63330221524
7616050103
oct211646774
974877407
1036130300
1119438258
12101248a4
13764039b
144b2703a
15328a41a
hex2274dfc

36130300 has 36 divisors (see below), whose sum is σ = 79701496. Its totient is φ = 14212800.

The previous prime is 36130291. The next prime is 36130301. The reversal of 36130300 is 303163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36130301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3139 + ... + 9061.

Almost surely, 236130300 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 36130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39850748).

36130300 is an abundant number, since it is smaller than the sum of its proper divisors (43571196).

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

36130300 is a wasteful number, since it uses less digits than its factorization.

36130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 36130300 is about 6010.8485257907. The cubic root of 36130300 is about 330.5906166338.

Adding to 36130300 its reverse (303163), we get a palindrome (36433463).

The spelling of 36130300 in words is "thirty-six million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 5923 6100 11846 23692 29615 59230 118460 148075 296150 361303 592300 722606 1445212 1806515 3613030 7226060 9032575 18065150 36130300