| Base | Representation |
|---|---|
| bin | 101000011111… |
| … | …000110000000 |
| 3 | 201222012110112 |
| 4 | 220133012000 |
| 5 | 10204104440 |
| 6 | 1015250452 |
| 7 | 156132020 |
| oct | 50370600 |
| 9 | 21865415 |
| 10 | 10613120 |
| 11 | 5a99881 |
| 12 | 3679a28 |
| 13 | 227796b |
| 14 | 15a3a80 |
| 15 | de9965 |
| hex | a1f180 |
10613120 has 128 divisors (see below), whose sum is σ = 30551040. Its totient is φ = 3446784.
The previous prime is 10613111. The next prime is 10613123. The reversal of 10613120 is 2131601.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×106131202 = 225276632268800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 10613095 and 10613104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10613123) 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, 102989 + ... + 103091.
It is an arithmetic number, because the mean of its divisors is an integer number (238680).
Almost surely, 210613120 is an apocalyptic number.
10613120 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 10613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275520).
10613120 is an abundant number, since it is smaller than the sum of its proper divisors (19937920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10613120 is a wasteful number, since it uses less digits than its factorization.
10613120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152 (or 140 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
The square root of 10613120 is about 3257.7783841139. The cubic root of 10613120 is about 219.7595168367.
Adding to 10613120 its reverse (2131601), we get a palindrome (12744721).
The spelling of 10613120 in words is "ten million, six hundred thirteen thousand, one hundred twenty".
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