Search a number
-
+
153240200 = 2352898609
BaseRepresentation
bin10010010001001…
…00001010001000
3101200100102000222
421020210022020
5303212141300
623112245212
73540343301
oct1110441210
9350312028
10153240200
11795556a3
12433a0808
1325994999
14164cd7a8
15d6be785
hex9224288

153240200 has 48 divisors (see below), whose sum is σ = 360328500. Its totient is φ = 60600320.

The previous prime is 153240181. The next prime is 153240203. The reversal of 153240200 is 2042351.

It can be written as a sum of positive squares in 6 ways, for example, as 16957924 + 136282276 = 4118^2 + 11674^2 .

It is not an unprimeable number, because it can be changed into a prime (153240203) 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, 13496 + ... + 22104.

Almost surely, 2153240200 is an apocalyptic number.

153240200 is a gapful number since it is divisible by the number (10) 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 153240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180164250).

153240200 is an abundant number, since it is smaller than the sum of its proper divisors (207088300).

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

153240200 is a wasteful number, since it uses less digits than its factorization.

153240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 153240200 is about 12379.0225785399. The cubic root of 153240200 is about 535.1278699799.

Adding to 153240200 its reverse (2042351), we get a palindrome (155282551).

The spelling of 153240200 in words is "one hundred fifty-three million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8609 8900 17218 17800 34436 43045 68872 86090 172180 215225 344360 430450 766201 860900 1532402 1721800 3064804 3831005 6129608 7662010 15324020 19155025 30648040 38310050 76620100 153240200