Base | Representation |
---|---|
bin | 1100001100110… |
… | …11001111000000 |
3 | 21010120210200000 |
4 | 12012123033000 |
5 | 202200111322 |
6 | 14053400000 |
7 | 2351640555 |
oct | 606331700 |
9 | 233523600 |
10 | 102347712 |
11 | 52855395 |
12 | 2a339000 |
13 | 1828629c |
14 | d842a2c |
15 | 8eba3ac |
hex | 619b3c0 |
102347712 has 84 divisors (see below), whose sum is σ = 304272696. Its totient is φ = 34110720.
The previous prime is 102347711. The next prime is 102347743. The reversal of 102347712 is 217743201.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102347711) 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, 12262 + ... + 18842.
It is an arithmetic number, because the mean of its divisors is an integer number (3622294).
Almost surely, 2102347712 is an apocalyptic number.
102347712 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 102347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152136348).
102347712 is an abundant number, since it is smaller than the sum of its proper divisors (201924984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102347712 is an frugal number, since it uses more digits than its factorization.
102347712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6608 (or 6586 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 27.
The square root of 102347712 is about 10116.7046017960. The cubic root of 102347712 is about 467.7631938067.
The spelling of 102347712 in words is "one hundred two million, three hundred forty-seven thousand, seven hundred twelve".
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