Base | Representation |
---|---|
bin | 111111110110100… |
… | …0110010001011110 |
3 | 12112022112201201100 |
4 | 1333231012101132 |
5 | 13341441403411 |
6 | 552333453530 |
7 | 104044123041 |
oct | 17755062136 |
9 | 5468481640 |
10 | 2142528606 |
11 | 9aa4464a9 |
12 | 4b96412a6 |
13 | 281b5b60a |
14 | 16479ac58 |
15 | c8168456 |
hex | 7fb4645e |
2142528606 has 48 divisors (see below), whose sum is σ = 4800407040. Its totient is φ = 689910480.
The previous prime is 2142528593. The next prime is 2142528607. The reversal of 2142528606 is 6068252412.
It is a happy number.
2142528606 is a `hidden beast` number, since 2 + 1 + 4 + 25 + 28 + 606 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2142528607) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342301 + ... + 348503.
It is an arithmetic number, because the mean of its divisors is an integer number (100008480).
Almost surely, 22142528606 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2142528606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400203520).
2142528606 is an abundant number, since it is smaller than the sum of its proper divisors (2657878434).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142528606 is a wasteful number, since it uses less digits than its factorization.
2142528606 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6861 (or 6858 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 2142528606 is about 46287.4562489666. The cubic root of 2142528606 is about 1289.1660988755.
The spelling of 2142528606 in words is "two billion, one hundred forty-two million, five hundred twenty-eight thousand, six hundred six".
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