Base | Representation |
---|---|
bin | 1011000110010… |
… | …11001000100000 |
3 | 20111012022102001 |
4 | 11203023020200 |
5 | 142313403340 |
6 | 13123333344 |
7 | 2210252110 |
oct | 543131040 |
9 | 214168361 |
10 | 93106720 |
11 | 48613503 |
12 | 27221254 |
13 | 1639c045 |
14 | c519040 |
15 | 829229a |
hex | 58cb220 |
93106720 has 96 divisors (see below), whose sum is σ = 255830400. Its totient is φ = 31358976.
The previous prime is 93106703. The next prime is 93106721. The reversal of 93106720 is 2760139.
It is a super-2 number, since 2×931067202 = 17337722618316800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is not an unprimeable number, because it can be changed into a prime (93106721) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65376 + ... + 66784.
It is an arithmetic number, because the mean of its divisors is an integer number (2664900).
Almost surely, 293106720 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 93106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127915200).
93106720 is an abundant number, since it is smaller than the sum of its proper divisors (162723680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93106720 is a wasteful number, since it uses less digits than its factorization.
93106720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 28.
The square root of 93106720 is about 9649.1823487796. The cubic root of 93106720 is about 453.2387249707.
Adding to 93106720 its reverse (2760139), we get a palindrome (95866859).
The spelling of 93106720 in words is "ninety-three million, one hundred six thousand, seven hundred twenty".
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