Base | Representation |
---|---|
bin | 1100101000111… |
… | …00100111111100 |
3 | 21101111112210100 |
4 | 12110130213330 |
5 | 204120222140 |
6 | 14304241100 |
7 | 2425120116 |
oct | 624344774 |
9 | 241445710 |
10 | 106023420 |
11 | 54935a68 |
12 | 2b610190 |
13 | 18c72369 |
14 | 1011c3b6 |
15 | 9494530 |
hex | 651c9fc |
106023420 has 144 divisors (see below), whose sum is σ = 350532000. Its totient is φ = 25837056.
The previous prime is 106023397. The next prime is 106023433. The reversal of 106023420 is 24320601.
It is a happy number.
106023420 is a `hidden beast` number, since 10 + 602 + 34 + 20 = 666.
It is a super-2 number, since 2×1060234202 = 22481931176992800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 106023393 and 106023402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98646 + ... + 99714.
It is an arithmetic number, because the mean of its divisors is an integer number (2434250).
Almost surely, 2106023420 is an apocalyptic number.
106023420 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 106023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175266000).
106023420 is an abundant number, since it is smaller than the sum of its proper divisors (244508580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106023420 is a wasteful number, since it uses less digits than its factorization.
106023420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1132 (or 1127 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 106023420 is about 10296.7674539148. The cubic root of 106023420 is about 473.2972012799.
The spelling of 106023420 in words is "one hundred six million, twenty-three thousand, four hundred twenty".
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