| Base | Representation |
|---|---|
| bin | 1101011101111… |
| … | …10100111100100 |
| 3 | 21212120220020100 |
| 4 | 12232332213210 |
| 5 | 212410302104 |
| 6 | 15113304100 |
| 7 | 2541205050 |
| oct | 656764744 |
| 9 | 255526210 |
| 10 | 112978404 |
| 11 | 58856390 |
| 12 | 31a05030 |
| 13 | 1a538c36 |
| 14 | 1100cc60 |
| 15 | 9dba139 |
| hex | 6bbe9e4 |
112978404 has 144 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 28753920.
The previous prime is 112978399. The next prime is 112978409. The reversal of 112978404 is 404879211.
It is an interprime number because it is at equal distance from previous prime (112978399) and next prime (112978409).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (112978409) 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 47 ways as a sum of consecutive naturals, for example, 146532 + ... + 147300.
It is an arithmetic number, because the mean of its divisors is an integer number (2522520).
Almost surely, 2112978404 is an apocalyptic number.
112978404 is a gapful number since it is divisible by the number (14) 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 112978404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).
112978404 is an abundant number, since it is smaller than the sum of its proper divisors (250264476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112978404 is a wasteful number, since it uses less digits than its factorization.
112978404 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 850 (or 845 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The square root of 112978404 is about 10629.1299738031. The cubic root of 112978404 is about 483.4280119981.
It can be divided in two parts, 11297 and 8404, that added together give a triangular number (19701 = T198).
The spelling of 112978404 in words is "one hundred twelve million, nine hundred seventy-eight thousand, four hundred four".
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