Base | Representation |
---|---|
bin | 101000011110011… |
… | …0101011111001000 |
3 | 10111122112220020221 |
4 | 1100330311133020 |
5 | 10240140000000 |
6 | 342433155424 |
7 | 45440605051 |
oct | 12074653710 |
9 | 3448486227 |
10 | 1358125000 |
11 | 637698461 |
12 | 31a9bbb74 |
13 | 1884a967b |
14 | cc531728 |
15 | 7e37261a |
hex | 50f357c8 |
1358125000 has 128 divisors (see below), whose sum is σ = 3322257120. Its totient is φ = 520000000.
The previous prime is 1358124979. The next prime is 1358125009. The reversal of 1358125000 is 5218531.
It is a happy number.
It can be written as a sum of positive squares in 16 ways, for example, as 1260392004 + 97732996 = 35502^2 + 9886^2 .
It is a sliding number, since 1358125000 = 78125000 + 1280000000 and 1/78125000 + 1/1280000000 = 0.00000001358125000.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (1358125009) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25624974 + ... + 25625026.
Almost surely, 21358125000 is an apocalyptic number.
1358125000 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 1358125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661128560).
1358125000 is an abundant number, since it is smaller than the sum of its proper divisors (1964132120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1358125000 is an frugal number, since it uses more digits than its factorization.
1358125000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 135 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 25.
The square root of 1358125000 is about 36852.7475230816. The cubic root of 1358125000 is about 1107.4222574164.
The spelling of 1358125000 in words is "one billion, three hundred fifty-eight million, one hundred twenty-five thousand".
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