Base | Representation |
---|---|
bin | 1110100111111… |
… | …11110000010000 |
3 | 22112211220121000 |
4 | 13103333300100 |
5 | 222401314014 |
6 | 20101302000 |
7 | 3016532406 |
oct | 723776020 |
9 | 275756530 |
10 | 122682384 |
11 | 63284100 |
12 | 35104900 |
13 | 1c555b36 |
14 | 12417476 |
15 | ab85509 |
hex | 74ffc10 |
122682384 has 120 divisors (see below), whose sum is σ = 387232160. Its totient is φ = 37160640.
The previous prime is 122682367. The next prime is 122682401. The reversal of 122682384 is 483286221.
122682384 is a `hidden beast` number, since 12 + 268 + 2 + 384 = 666.
It is an interprime number because it is at equal distance from previous prime (122682367) and next prime (122682401).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51099 + ... + 53445.
Almost surely, 2122682384 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 122682384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193616080).
122682384 is an abundant number, since it is smaller than the sum of its proper divisors (264549776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122682384 is a wasteful number, since it uses less digits than its factorization.
122682384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2386 (or 2363 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 122682384 is about 11076.2080153814. The cubic root of 122682384 is about 496.8905480361.
The spelling of 122682384 in words is "one hundred twenty-two million, six hundred eighty-two thousand, three hundred eighty-four".
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