| Base | Representation |
|---|---|
| bin | 1111001000101… |
| … | …01110000111000 |
| 3 | 22211220120202120 |
| 4 | 13210111300320 |
| 5 | 230000414330 |
| 6 | 20333201240 |
| 7 | 3101125500 |
| oct | 744256070 |
| 9 | 284816676 |
| 10 | 126966840 |
| 11 | 65740080 |
| 12 | 36630220 |
| 13 | 203c6010 |
| 14 | 12c10a00 |
| 15 | b22ec10 |
| hex | 7915c38 |
126966840 has 384 divisors, whose sum is σ = 523998720. Its totient is φ = 24192000.
The previous prime is 126966821. The next prime is 126966859. The reversal of 126966840 is 48669621.
It is an interprime number because it is at equal distance from previous prime (126966821) and next prime (126966859).
It is a super-2 number, since 2×1269668402 = 32241156919171200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 126966792 and 126966801.
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 840765 + ... + 840915.
It is an arithmetic number, because the mean of its divisors is an integer number (1364580).
Almost surely, 2126966840 is an apocalyptic number.
126966840 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 126966840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261999360).
126966840 is an abundant number, since it is smaller than the sum of its proper divisors (397031880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126966840 is a wasteful number, since it uses less digits than its factorization.
126966840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 203 (or 192 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 42.
The square root of 126966840 is about 11267.9563364436. The cubic root of 126966840 is about 502.6088177988.
The spelling of 126966840 in words is "one hundred twenty-six million, nine hundred sixty-six thousand, eight hundred forty".
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