Base | Representation |
---|---|
bin | 1110100011111… |
… | …11011110000000 |
3 | 22111212012210200 |
4 | 13101333132000 |
5 | 222233010203 |
6 | 20042125200 |
7 | 3012213435 |
oct | 721773600 |
9 | 274765720 |
10 | 122156928 |
11 | 62a55343 |
12 | 34ab0800 |
13 | 1c40090a |
14 | 1231bb8c |
15 | aace9a3 |
hex | 747f780 |
122156928 has 96 divisors (see below), whose sum is σ = 370086600. Its totient is φ = 38568960.
The previous prime is 122156921. The next prime is 122156971. The reversal of 122156928 is 829651221.
It is a tau number, because it is divible by the number of its divisors (96).
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 = 122156892 and 122156901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122156921) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19098 + ... + 24678.
Almost surely, 2122156928 is an apocalyptic number.
122156928 is a gapful number since it is divisible by the number (18) 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 122156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185043300).
122156928 is an abundant number, since it is smaller than the sum of its proper divisors (247929672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122156928 is a wasteful number, since it uses less digits than its factorization.
122156928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5620 (or 5605 counting only the distinct ones).
The product of its digits is 17280, while the sum is 36.
The square root of 122156928 is about 11052.4625310380. The cubic root of 122156928 is about 496.1801288181.
The spelling of 122156928 in words is "one hundred twenty-two million, one hundred fifty-six thousand, nine hundred twenty-eight".
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