Base | Representation |
---|---|
bin | 111101101110010… |
… | …010000001011100 |
3 | 2200011120000102101 |
4 | 331232102001130 |
5 | 4110044330440 |
6 | 250431134444 |
7 | 34442652460 |
oct | 7556220134 |
9 | 2604500371 |
10 | 1035542620 |
11 | 49159a552 |
12 | 24a974424 |
13 | 136702c18 |
14 | 9b7604a0 |
15 | 60da269a |
hex | 3db9205c |
1035542620 has 96 divisors (see below), whose sum is σ = 2571222528. Its totient is φ = 342980352.
The previous prime is 1035542591. The next prime is 1035542623. The reversal of 1035542620 is 262455301.
1035542620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-5 number, since 5×10355426205 (a number of 46 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1035542623) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496099 + ... + 498181.
It is an arithmetic number, because the mean of its divisors is an integer number (26783568).
Almost surely, 21035542620 is an apocalyptic number.
1035542620 is a gapful number since it is divisible by the number (10) 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 1035542620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285611264).
1035542620 is an abundant number, since it is smaller than the sum of its proper divisors (1535679908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035542620 is a wasteful number, since it uses less digits than its factorization.
1035542620 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 28.
The square root of 1035542620 is about 32179.8480419035. The cubic root of 1035542620 is about 1011.7098834055.
Adding to 1035542620 its reverse (262455301), we get a palindrome (1297997921).
It can be divided in two parts, 10355 and 42620, that added together give a triangular number (52975 = T325).
The spelling of 1035542620 in words is "one billion, thirty-five million, five hundred forty-two thousand, six hundred twenty".
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