Base | Representation |
---|---|
bin | 111110100110000… |
… | …1100011010100000 |
3 | 12102101011202121000 |
4 | 1331030030122200 |
5 | 13300142123301 |
6 | 544225432000 |
7 | 103022445144 |
oct | 17514143240 |
9 | 5371152530 |
10 | 2100348576 |
11 | 988656a77 |
12 | 4a749b600 |
13 | 2761b0711 |
14 | 15cd3b224 |
15 | c45d5786 |
hex | 7d30c6a0 |
2100348576 has 96 divisors (see below), whose sum is σ = 6134728320. Its totient is φ = 699121152.
The previous prime is 2100348557. The next prime is 2100348581. The reversal of 2100348576 is 6758430012.
2100348576 is a `hidden beast` number, since 2 + 100 + 3 + 485 + 76 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×21003485762 = 8822928281410455552, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2100348576.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848076 + ... + 850548.
It is an arithmetic number, because the mean of its divisors is an integer number (63903420).
Almost surely, 22100348576 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 2100348576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067364160).
2100348576 is an abundant number, since it is smaller than the sum of its proper divisors (4034379744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100348576 is a wasteful number, since it uses less digits than its factorization.
2100348576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3475 (or 3461 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 2100348576 is about 45829.5600677118. The cubic root of 2100348576 is about 1280.6500149029.
Adding to 2100348576 its reverse (6758430012), we get a palindrome (8858778588).
The spelling of 2100348576 in words is "two billion, one hundred million, three hundred forty-eight thousand, five hundred seventy-six".
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