Base | Representation |
---|---|
bin | 1110111101110… |
… | …10100011100000 |
3 | 22202020022220200 |
4 | 13132322203200 |
5 | 224114412142 |
6 | 20242505200 |
7 | 3053053311 |
oct | 736724340 |
9 | 282208820 |
10 | 125544672 |
11 | 64959630 |
12 | 36065200 |
13 | 200188b6 |
14 | 12960608 |
15 | b04d64c |
hex | 77ba8e0 |
125544672 has 144 divisors (see below), whose sum is σ = 406643328. Its totient is φ = 36368640.
The previous prime is 125544641. The next prime is 125544673. The reversal of 125544672 is 276445521.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1255446722 = 31522929335175168, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (125544673) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72003 + ... + 73725.
It is an arithmetic number, because the mean of its divisors is an integer number (2823912).
Almost surely, 2125544672 is an apocalyptic number.
125544672 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 125544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203321664).
125544672 is an abundant number, since it is smaller than the sum of its proper divisors (281098656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125544672 is a wasteful number, since it uses less digits than its factorization.
125544672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1773 (or 1762 counting only the distinct ones).
The product of its digits is 67200, while the sum is 36.
The square root of 125544672 is about 11204.6718827461. The cubic root of 125544672 is about 500.7251770613.
The spelling of 125544672 in words is "one hundred twenty-five million, five hundred forty-four thousand, six hundred seventy-two".
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