Base | Representation |
---|---|
bin | 10100000101001… |
… | …11011100111000 |
3 | 102201222112222200 |
4 | 22002213130320 |
5 | 321111124130 |
6 | 24414350200 |
7 | 4113604212 |
oct | 1202473470 |
9 | 381875880 |
10 | 168458040 |
11 | 870aa023 |
12 | 484bb360 |
13 | 28b9251a |
14 | 185315b2 |
15 | ebc8760 |
hex | a0a7738 |
168458040 has 96 divisors (see below), whose sum is σ = 562330080. Its totient is φ = 43704576.
The previous prime is 168458029. The next prime is 168458051. The reversal of 168458040 is 40854861.
168458040 is a `hidden beast` number, since 168 + 458 + 0 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (168458029) and next prime (168458051).
It is a super-2 number, since 2×1684580402 = 56756222481283200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 168457986 and 168458004.
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 23 ways as a sum of consecutive naturals, for example, 6997 + ... + 19643.
It is an arithmetic number, because the mean of its divisors is an integer number (5857605).
Almost surely, 2168458040 is an apocalyptic number.
168458040 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 168458040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281165040).
168458040 is an abundant number, since it is smaller than the sum of its proper divisors (393872040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168458040 is a wasteful number, since it uses less digits than its factorization.
168458040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12701 (or 12694 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The square root of 168458040 is about 12979.1386463047. The cubic root of 168458040 is about 552.2858475404.
The spelling of 168458040 in words is "one hundred sixty-eight million, four hundred fifty-eight thousand, forty".
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