Base | Representation |
---|---|
bin | 1100001100100… |
… | …00011110100000 |
3 | 21010111120020000 |
4 | 12012100132200 |
5 | 202142204043 |
6 | 14052420000 |
7 | 2351365236 |
oct | 606203640 |
9 | 233446200 |
10 | 102303648 |
11 | 52825277 |
12 | 2a317600 |
13 | 1826c205 |
14 | d830956 |
15 | 8eac2d3 |
hex | 61907a0 |
102303648 has 120 divisors (see below), whose sum is σ = 311475780. Its totient is φ = 32901120.
The previous prime is 102303647. The next prime is 102303653. The reversal of 102303648 is 846303201.
It is a happy number.
102303648 is a `hidden beast` number, since 10 + 2 + 3 + 0 + 3 + 648 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 99440784 + 2862864 = 9972^2 + 1692^2 .
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (102303647) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74488 + ... + 75848.
Almost surely, 2102303648 is an apocalyptic number.
102303648 is a gapful number since it is divisible by the number (18) 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 102303648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155737890).
102303648 is an abundant number, since it is smaller than the sum of its proper divisors (209172132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102303648 is a wasteful number, since it uses less digits than its factorization.
102303648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1412 (or 1395 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 102303648 is about 10114.5265830883. The cubic root of 102303648 is about 467.6960551097.
Adding to 102303648 its reverse (846303201), we get a palindrome (948606849).
The spelling of 102303648 in words is "one hundred two million, three hundred three thousand, six hundred forty-eight".
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