| Base | Representation |
|---|---|
| bin | 1101110100101… |
| … | …10000101010100 |
| 3 | 22002012021121110 |
| 4 | 12322112011110 |
| 5 | 214141124400 |
| 6 | 15301215020 |
| 7 | 2605425156 |
| oct | 672260524 |
| 9 | 262167543 |
| 10 | 115958100 |
| 11 | 5a501045 |
| 12 | 32a01470 |
| 13 | 1b04027b |
| 14 | 11586ad6 |
| 15 | a2a7e50 |
| hex | 6e96154 |
115958100 has 144 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 29568000.
The previous prime is 115958093. The next prime is 115958107. The reversal of 115958100 is 1859511.
It is an interprime number because it is at equal distance from previous prime (115958093) and next prime (115958107).
It is a super-2 number, since 2×1159581002 = 26892561911220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (115958107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148050 + ... + 1148150.
It is an arithmetic number, because the mean of its divisors is an integer number (2434740).
Almost surely, 2115958100 is an apocalyptic number.
115958100 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 115958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).
115958100 is an abundant number, since it is smaller than the sum of its proper divisors (234644460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
115958100 is a wasteful number, since it uses less digits than its factorization.
115958100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 250 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 30.
The square root of 115958100 is about 10768.3842799187. The cubic root of 115958100 is about 487.6411688472.
The spelling of 115958100 in words is "one hundred fifteen million, nine hundred fifty-eight thousand, one hundred".
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