Base | Representation |
---|---|
bin | 101100100000… |
… | …0001101011000 |
3 | 1121220101001000 |
4 | 1121000031120 |
5 | 21433103142 |
6 | 2152025000 |
7 | 402213240 |
oct | 131001530 |
9 | 47811030 |
10 | 23331672 |
11 | 12196481 |
12 | 7992160 |
13 | 4aaba30 |
14 | 3154b20 |
15 | 20ad14c |
hex | 1640358 |
23331672 has 128 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 6148224.
The previous prime is 23331647. The next prime is 23331673. The reversal of 23331672 is 27613332.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23331673) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19063 + ... + 20249.
It is an arithmetic number, because the mean of its divisors is an integer number (623700).
Almost surely, 223331672 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 23331672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).
23331672 is an abundant number, since it is smaller than the sum of its proper divisors (56501928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23331672 is a wasteful number, since it uses less digits than its factorization.
23331672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1222 (or 1212 counting only the distinct ones).
The product of its digits is 4536, while the sum is 27.
The square root of 23331672 is about 4830.2869479980. The cubic root of 23331672 is about 285.7471806888.
It can be divided in two parts, 2333 and 1672, that added together give a triangular number (4005 = T89).
The spelling of 23331672 in words is "twenty-three million, three hundred thirty-one thousand, six hundred seventy-two".
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