Base | Representation |
---|---|
bin | 111101101100011… |
… | …1110010000000000 |
3 | 12100021100012201000 |
4 | 1323120332100000 |
5 | 13214424102000 |
6 | 541230212000 |
7 | 102204635151 |
oct | 17330762000 |
9 | 5307305630 |
10 | 2070144000 |
11 | 9725a6911 |
12 | 499354000 |
13 | 26cb665a2 |
14 | 158d17928 |
15 | c1b1b000 |
hex | 7b63e400 |
2070144000 has 352 divisors, whose sum is σ = 7663968000. Its totient is φ = 551116800.
The previous prime is 2070143987. The next prime is 2070144019. The reversal of 2070144000 is 4410702.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455701 + ... + 3456299.
Almost surely, 22070144000 is an apocalyptic number.
2070144000 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 2070144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831984000).
2070144000 is an abundant number, since it is smaller than the sum of its proper divisors (5593824000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2070144000 is an equidigital number, since it uses as much as digits as its factorization.
2070144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 643 (or 609 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 2070144000 is about 45498.8351499244. The cubic root of 2070144000 is about 1274.4814500309.
Adding to 2070144000 its reverse (4410702), we get a palindrome (2074554702).
It can be divided in two parts, 2070 and 144000, that added together give a triangular number (146070 = T540).
The spelling of 2070144000 in words is "two billion, seventy million, one hundred forty-four thousand".
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