| Base | Representation |
|---|---|
| bin | 1100101101101… |
| … | …10011100010000 |
| 3 | 21102200120001000 |
| 4 | 12112312130100 |
| 5 | 204300402311 |
| 6 | 14325542000 |
| 7 | 2433353010 |
| oct | 626663420 |
| 9 | 242616030 |
| 10 | 106653456 |
| 11 | 55226358 |
| 12 | 2b874900 |
| 13 | 19133070 |
| 14 | 10243c40 |
| 15 | 956b056 |
| hex | 65b6710 |
106653456 has 160 divisors (see below), whose sum is σ = 376920320. Its totient is φ = 28118016.
The previous prime is 106653433. The next prime is 106653467. The reversal of 106653456 is 654356601.
106653456 is a `hidden beast` number, since 10 + 66 + 534 + 56 = 666.
It is a super-2 number, since 2×1066534562 = 22749919353487872, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 106653456.
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 31 ways as a sum of consecutive naturals, for example, 37956 + ... + 40668.
It is an arithmetic number, because the mean of its divisors is an integer number (2355752).
Almost surely, 2106653456 is an apocalyptic number.
106653456 is a gapful number since it is divisible by the number (16) 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 106653456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188460160).
106653456 is an abundant number, since it is smaller than the sum of its proper divisors (270266864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106653456 is a wasteful number, since it uses less digits than its factorization.
106653456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2750 (or 2738 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 36.
The square root of 106653456 is about 10327.3160114330. The cubic root of 106653456 is about 474.2328610688.
The spelling of 106653456 in words is "one hundred six million, six hundred fifty-three thousand, four hundred fifty-six".
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