Base | Representation |
---|---|
bin | 11011010010000110000000 |
3 | 111110100200220 |
4 | 123102012000 |
5 | 3312331000 |
6 | 413143040 |
7 | 114535212 |
oct | 33220600 |
9 | 14410626 |
10 | 7152000 |
11 | 4045449 |
12 | 248aa80 |
13 | 163546b |
14 | d425b2 |
15 | 9641a0 |
hex | 6d2180 |
7152000 has 128 divisors (see below), whose sum is σ = 23868000. Its totient is φ = 1894400.
The previous prime is 7151983. The next prime is 7152007. The reversal of 7152000 is 2517.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×71520002 = 102302208000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is an Ulam number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (7152007) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47926 + ... + 48074.
Almost surely, 27152000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 7152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934000).
7152000 is an abundant number, since it is smaller than the sum of its proper divisors (16716000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7152000 is a wasteful number, since it uses less digits than its factorization.
7152000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 181 (or 159 counting only the distinct ones).
The product of its (nonzero) digits is 70, while the sum is 15.
The square root of 7152000 is about 2674.3223440715. The cubic root of 7152000 is about 192.6678134107.
Adding to 7152000 its reverse (2517), we get a palindrome (7154517).
The spelling of 7152000 in words is "seven million, one hundred fifty-two thousand".
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