Base | Representation |
---|---|
bin | 11110100001011011000 |
3 | 1212210221200 |
4 | 3310023120 |
5 | 224001102 |
6 | 33234200 |
7 | 11333616 |
oct | 3641330 |
9 | 1783850 |
10 | 1000152 |
11 | 62347a |
12 | 402960 |
13 | 29030a |
14 | 1c06b6 |
15 | 14b51c |
hex | f42d8 |
1000152 has 48 divisors (see below), whose sum is σ = 2808000. Its totient is φ = 321216.
The previous prime is 1000151. The next prime is 1000159. The reversal of 1000152 is 2510001.
1000152 = T248 + T249 + ... + T276.
It is a happy number.
1000152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000151) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1849 + ... + 2327.
It is an arithmetic number, because the mean of its divisors is an integer number (58500).
21000152 is an apocalyptic number.
1000152 is a gapful number since it is divisible by the number (12) 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 1000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404000).
1000152 is an abundant number, since it is smaller than the sum of its proper divisors (1807848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000152 is a wasteful number, since it uses less digits than its factorization.
1000152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 520 (or 513 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 9.
The square root of 1000152 is about 1000.0759971122. The cubic root of 1000152 is about 100.0050664100.
Adding to 1000152 its reverse (2510001), we get a palindrome (3510153).
The spelling of 1000152 in words is "one million, one hundred fifty-two", and thus it is an aban number.
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