Base | Representation |
---|---|
bin | 111111101000010… |
… | …1001001100010100 |
3 | 12111210111202200200 |
4 | 1333100221030110 |
5 | 13333034210320 |
6 | 551505540500 |
7 | 103623535206 |
oct | 17720511424 |
9 | 5453452620 |
10 | 2135069460 |
11 | 9a6211317 |
12 | 4b7044730 |
13 | 280449414 |
14 | 1637b8776 |
15 | c7693290 |
hex | 7f429314 |
2135069460 has 144 divisors (see below), whose sum is σ = 6712641936. Its totient is φ = 548868096.
The previous prime is 2135069441. The next prime is 2135069467. The reversal of 2135069460 is 649605312.
It is a happy number.
2135069460 is a `hidden beast` number, since 2 + 1 + 3 + 506 + 94 + 60 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 436475664 + 1698593796 = 20892^2 + 41214^2 .
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 (2135069467) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751162 + ... + 753998.
It is an arithmetic number, because the mean of its divisors is an integer number (46615569).
Almost surely, 22135069460 is an apocalyptic number.
2135069460 is a gapful number since it is divisible by the number (20) 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 2135069460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356320968).
2135069460 is an abundant number, since it is smaller than the sum of its proper divisors (4577572476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2135069460 is a wasteful number, since it uses less digits than its factorization.
2135069460 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3002 (or 2997 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 2135069460 is about 46206.8118354859. The cubic root of 2135069460 is about 1287.6682955923.
The spelling of 2135069460 in words is "two billion, one hundred thirty-five million, sixty-nine thousand, four hundred sixty".
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