Base | Representation |
---|---|
bin | 1111100111000… |
… | …00000000000000 |
3 | 100010101111012000 |
4 | 13303200000000 |
5 | 232010102203 |
6 | 20554304000 |
7 | 3146656656 |
oct | 763400000 |
9 | 303344160 |
10 | 130940928 |
11 | 67a04948 |
12 | 37a28000 |
13 | 21187b51 |
14 | 13566dd6 |
15 | b7674a3 |
hex | 7ce0000 |
130940928 has 144 divisors (see below), whose sum is σ = 398457360. Its totient is φ = 42467328.
The previous prime is 130940911. The next prime is 130940933. The reversal of 130940928 is 829049031.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 130940892 and 130940901.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538926 + ... + 3538962.
It is an arithmetic number, because the mean of its divisors is an integer number (2767065).
Almost surely, 2130940928 is an apocalyptic number.
130940928 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 130940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199228680).
130940928 is an abundant number, since it is smaller than the sum of its proper divisors (267516432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130940928 is an frugal number, since it uses more digits than its factorization.
130940928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80 (or 42 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 130940928 is about 11442.9422789770. The cubic root of 130940928 is about 507.7989573786.
Adding to 130940928 its reverse (829049031), we get a palindrome (959989959).
The spelling of 130940928 in words is "one hundred thirty million, nine hundred forty thousand, nine hundred twenty-eight".
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