| Base | Representation |
|---|---|
| bin | 110100000000000… |
| … | …101110101010000 |
| 3 | 2020210122111111000 |
| 4 | 310000011311100 |
| 5 | 3241321022440 |
| 6 | 222323222000 |
| 7 | 30422416200 |
| oct | 6400056520 |
| 9 | 2223574430 |
| 10 | 872439120 |
| 11 | 408518473 |
| 12 | 204217900 |
| 13 | 10b996987 |
| 14 | 83c24400 |
| 15 | 518d5730 |
| hex | 34005d50 |
872439120 has 240 divisors, whose sum is σ = 3496115520. Its totient is φ = 199390464.
The previous prime is 872439119. The next prime is 872439121. The reversal of 872439120 is 21934278.
It is an interprime number because it is at equal distance from previous prime (872439119) and next prime (872439121).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×8724391202 = 1522300036212748800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (872439121) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101719 + ... + 109961.
It is an arithmetic number, because the mean of its divisors is an integer number (14567148).
Almost surely, 2872439120 is an apocalyptic number.
872439120 is a gapful number since it is divisible by the number (80) 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 872439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748057760).
872439120 is an abundant number, since it is smaller than the sum of its proper divisors (2623676400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
872439120 is a wasteful number, since it uses less digits than its factorization.
872439120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8279 (or 8260 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 872439120 is about 29537.0804244428. The cubic root of 872439120 is about 955.5315772682.
The spelling of 872439120 in words is "eight hundred seventy-two million, four hundred thirty-nine thousand, one hundred twenty".
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