Base | Representation |
---|---|
bin | 1110101010000… |
… | …11010010111000 |
3 | 22120100222002020 |
4 | 13111003102320 |
5 | 222434142112 |
6 | 20111234440 |
7 | 3022064100 |
oct | 725032270 |
9 | 276328066 |
10 | 122959032 |
11 | 63452a39 |
12 | 35218a20 |
13 | 1c621a31 |
14 | 1248a200 |
15 | abdc48c |
hex | 75434b8 |
122959032 has 96 divisors (see below), whose sum is σ = 376473600. Its totient is φ = 33276096.
The previous prime is 122959027. The next prime is 122959033. The reversal of 122959032 is 230959221.
It is a junction number, because it is equal to n+sod(n) for n = 122958984 and 122959002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122959033) by changing a digit.
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, 19593 + ... + 25095.
It is an arithmetic number, because the mean of its divisors is an integer number (3921600).
Almost surely, 2122959032 is an apocalyptic number.
122959032 is a gapful number since it is divisible by the number (12) 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 122959032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188236800).
122959032 is an abundant number, since it is smaller than the sum of its proper divisors (253514568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122959032 is a wasteful number, since it uses less digits than its factorization.
122959032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5545 (or 5534 counting only the distinct ones).
The product of its (nonzero) digits is 9720, while the sum is 33.
The square root of 122959032 is about 11088.6893725093. The cubic root of 122959032 is about 497.2637626587.
The spelling of 122959032 in words is "one hundred twenty-two million, nine hundred fifty-nine thousand, thirty-two".
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