Base | Representation |
---|---|
bin | 1100001100011… |
… | …11111100100000 |
3 | 21010111110020102 |
4 | 12012033330200 |
5 | 202142121342 |
6 | 14052401532 |
7 | 2351356010 |
oct | 606177440 |
9 | 233443212 |
10 | 102301472 |
11 | 52823679 |
12 | 2a3162a8 |
13 | 1826b220 |
14 | d82dc40 |
15 | 8eab832 |
hex | 618ff20 |
102301472 has 144 divisors (see below), whose sum is σ = 267140160. Its totient is φ = 37449216.
The previous prime is 102301471. The next prime is 102301513. The reversal of 102301472 is 274103201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102301471) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2379083 + ... + 2379125.
It is an arithmetic number, because the mean of its divisors is an integer number (1855140).
Almost surely, 2102301472 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 102301472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133570080).
102301472 is an abundant number, since it is smaller than the sum of its proper divisors (164838688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102301472 is a wasteful number, since it uses less digits than its factorization.
102301472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 135 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 20.
The square root of 102301472 is about 10114.4190144565. The cubic root of 102301472 is about 467.6927391190.
Adding to 102301472 its reverse (274103201), we get a palindrome (376404673).
It can be divided in two parts, 10 and 2301472, that multiplied together give a triangular number (23014720 = T6784).
The spelling of 102301472 in words is "one hundred two million, three hundred one thousand, four hundred seventy-two".
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