Search a number
-
+
113825300 = 225243103257
BaseRepresentation
bin1101100100011…
…01011000010100
321221011220221212
412302031120110
5213114402200
615143400552
72551333121
oct662153024
9257156855
10113825300
11592846a6
1232153158
131a774564
141118d748
159ed6035
hex6c8d614

113825300 has 72 divisors (see below), whose sum is σ = 256191936. Its totient is φ = 43868160.

The previous prime is 113825281. The next prime is 113825339. The reversal of 113825300 is 3528311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442772 + ... + 443028.

Almost surely, 2113825300 is an apocalyptic number.

113825300 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 113825300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128095968).

113825300 is an abundant number, since it is smaller than the sum of its proper divisors (142366636).

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

113825300 is a wasteful number, since it uses less digits than its factorization.

113825300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 113825300 is about 10668.8940382778. The cubic root of 113825300 is about 484.6329457882.

The spelling of 113825300 in words is "one hundred thirteen million, eight hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 103 172 206 215 257 412 430 514 515 860 1028 1030 1075 1285 2060 2150 2570 2575 4300 4429 5140 5150 6425 8858 10300 11051 12850 17716 22102 22145 25700 26471 44204 44290 52942 55255 88580 105884 110510 110725 132355 221020 221450 264710 276275 442900 529420 552550 661775 1105100 1138253 1323550 2276506 2647100 4553012 5691265 11382530 22765060 28456325 56912650 113825300