| Base | Representation |
|---|---|
| bin | 101001001000… |
| … | …110010000000 |
| 3 | 202021212200200 |
| 4 | 221020302000 |
| 5 | 10230040442 |
| 6 | 1023045200 |
| 7 | 160442601 |
| oct | 51106200 |
| 9 | 22255620 |
| 10 | 10783872 |
| 11 | 60a60a0 |
| 12 | 3740800 |
| 13 | 23075b8 |
| 14 | 1609da8 |
| 15 | e3034c |
| hex | a48c80 |
10783872 has 192 divisors, whose sum is σ = 36279360. Its totient is φ = 3041280.
The previous prime is 10783847. The next prime is 10783873. The reversal of 10783872 is 27838701.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10783873) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291438 + ... + 291474.
It is an arithmetic number, because the mean of its divisors is an integer number (188955).
Almost surely, 210783872 is an apocalyptic number.
10783872 is a gapful number since it is divisible by the number (12) 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 10783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).
10783872 is an abundant number, since it is smaller than the sum of its proper divisors (25495488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10783872 is a wasteful number, since it uses less digits than its factorization.
10783872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 18816, while the sum is 36.
The square root of 10783872 is about 3283.8806312045. The cubic root of 10783872 is about 220.9318053618.
It can be divided in two parts, 1078 and 3872, that added together give a triangular number (4950 = T99).
The spelling of 10783872 in words is "ten million, seven hundred eighty-three thousand, eight hundred seventy-two".
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