Base | Representation |
---|---|
bin | 101100100101111… |
… | …001000100010100 |
3 | 1221010201222020000 |
4 | 230211321010110 |
5 | 3013010134310 |
6 | 202123011300 |
7 | 24353001501 |
oct | 5445710424 |
9 | 1833658200 |
10 | 748130580 |
11 | 35433363a |
12 | 18a669b30 |
13 | bbcc1922 |
14 | 715064a8 |
15 | 45a2d4c0 |
hex | 2c979114 |
748130580 has 120 divisors (see below), whose sum is σ = 2354063712. Its totient is φ = 198894528.
The previous prime is 748130573. The next prime is 748130587. The reversal of 748130580 is 85031847.
748130580 is a `hidden beast` number, since 7 + 48 + 1 + 30 + 580 = 666.
It is an interprime number because it is at equal distance from previous prime (748130573) and next prime (748130587).
It is a super-3 number, since 3×7481305803 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 (748130587) 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 39 ways as a sum of consecutive naturals, for example, 846819 + ... + 847701.
Almost surely, 2748130580 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 748130580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177031856).
748130580 is an abundant number, since it is smaller than the sum of its proper divisors (1605933132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
748130580 is a wasteful number, since it uses less digits than its factorization.
748130580 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1427 (or 1416 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The square root of 748130580 is about 27351.9757970060. The cubic root of 748130580 is about 907.8047880004.
It can be divided in two parts, 748 and 130580, that added together give a triangular number (131328 = T512).
The spelling of 748130580 in words is "seven hundred forty-eight million, one hundred thirty thousand, five hundred eighty".
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