Search a number
-
+
368530100 = 22523685301
BaseRepresentation
bin10101111101110…
…101001010110100
3221200110021020222
4111331311022310
51223320430400
6100322513512
712063311531
oct2575651264
9850407228
10368530100
1117a031134
12a3505898
135b473563
1436d31d88
1522549185
hex15f752b4

368530100 has 18 divisors (see below), whose sum is σ = 799710534. Its totient is φ = 147412000.

The previous prime is 368530087. The next prime is 368530103. The reversal of 368530100 is 1035863.

It can be written as a sum of positive squares in 3 ways, for example, as 29528356 + 339001744 = 5434^2 + 18412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 368530100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368530103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1842551 + ... + 1842750.

It is an arithmetic number, because the mean of its divisors is an integer number (44428363).

Almost surely, 2368530100 is an apocalyptic number.

It is an amenable number.

368530100 is an abundant number, since it is smaller than the sum of its proper divisors (431180434).

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

368530100 is a wasteful number, since it uses less digits than its factorization.

368530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685315 (or 3685308 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 368530100 is about 19197.1378074962. The cubic root of 368530100 is about 716.9534985504.

Adding to 368530100 its reverse (1035863), we get a palindrome (369565963).

The spelling of 368530100 in words is "three hundred sixty-eight million, five hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3685301 7370602 14741204 18426505 36853010 73706020 92132525 184265050 368530100