| Base | Representation |
|---|---|
| bin | 1101100000101… |
| … | …10100000000000 |
| 3 | 21220021012000100 |
| 4 | 12300112200000 |
| 5 | 213003311433 |
| 6 | 15125122400 |
| 7 | 2544234363 |
| oct | 660264000 |
| 9 | 256235010 |
| 10 | 113338368 |
| 11 | 58a81880 |
| 12 | 31b59400 |
| 13 | 1a633a30 |
| 14 | 110a40da |
| 15 | 9e3bb13 |
| hex | 6c16800 |
113338368 has 288 divisors, whose sum is σ = 393513120. Its totient is φ = 30965760.
The previous prime is 113338367. The next prime is 113338397. The reversal of 113338368 is 863833311.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (31104) is a multiple of the sum of its prime divisors (72).
It is not an unprimeable number, because it can be changed into a prime (113338367) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635755 + ... + 2635797.
It is an arithmetic number, because the mean of its divisors is an integer number (1366365).
Almost surely, 2113338368 is an apocalyptic number.
113338368 is a gapful number since it is divisible by the number (18) 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 113338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196756560).
113338368 is an abundant number, since it is smaller than the sum of its proper divisors (280174752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113338368 is a wasteful number, since it uses less digits than its factorization.
113338368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 95 (or 72 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 113338368 is about 10646.0494081138. The cubic root of 113338368 is about 483.9408893501.
It can be divided in two parts, 11333 and 8368, that added together give a triangular number (19701 = T198).
The spelling of 113338368 in words is "one hundred thirteen million, three hundred thirty-eight thousand, three hundred sixty-eight".
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