Base | Representation |
---|---|
bin | 100111101001110… |
… | …1110011000110000 |
3 | 10102201201000000000 |
4 | 1033103232120300 |
5 | 10211111231200 |
6 | 340010430000 |
7 | 44654444106 |
oct | 11723563060 |
9 | 3381630000 |
10 | 1330570800 |
11 | 623088599 |
12 | 311732300 |
13 | 18287ca00 |
14 | c89dbc76 |
15 | 7bc2d300 |
hex | 4f4ee630 |
1330570800 has 450 divisors, whose sum is σ = 5192179212. Its totient is φ = 327525120.
The previous prime is 1330570783. The next prime is 1330570847. The reversal of 1330570800 is 80750331.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1330570800 is a `hidden beast` number, since 13 + 3 + 0 + 570 + 80 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (450).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 102351594 + ... + 102351606.
Almost surely, 21330570800 is an apocalyptic number.
1330570800 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 1330570800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596089606).
1330570800 is an abundant number, since it is smaller than the sum of its proper divisors (3861608412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1330570800 is an frugal number, since it uses more digits than its factorization.
1330570800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71 (or 23 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 1330570800 is about 36476.9900074006. The cubic root of 1330570800 is about 1099.8817503741.
Multiplying 1330570800 by its sum of digits (27), we get a square (35925411600 = 1895402).
1330570800 divided by its sum of digits (27) gives a square (49280400 = 70202).
The spelling of 1330570800 in words is "one billion, three hundred thirty million, five hundred seventy thousand, eight hundred".
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