Base | Representation |
---|---|
bin | 101100101001… |
… | …0100100110100 |
3 | 1122001012020020 |
4 | 1121102210310 |
5 | 21443010100 |
6 | 2153405140 |
7 | 402645456 |
oct | 131224464 |
9 | 48035206 |
10 | 23406900 |
11 | 12237a50 |
12 | 7a097b0 |
13 | 4b0704a |
14 | 31742d6 |
15 | 20c55a0 |
hex | 1652934 |
23406900 has 144 divisors (see below), whose sum is σ = 76120128. Its totient is φ = 5504000.
The previous prime is 23406899. The next prime is 23406907. The reversal of 23406900 is 960432.
It is a super-2 number, since 2×234069002 = 1095765935220000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23406907) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135214 + ... + 135386.
It is an arithmetic number, because the mean of its divisors is an integer number (528612).
Almost surely, 223406900 is an apocalyptic number.
23406900 is a gapful number since it is divisible by the number (20) 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 23406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38060064).
23406900 is an abundant number, since it is smaller than the sum of its proper divisors (52713228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23406900 is a wasteful number, since it uses less digits than its factorization.
23406900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 242 (or 235 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
The square root of 23406900 is about 4838.0677961351. The cubic root of 23406900 is about 286.0539614874.
The spelling of 23406900 in words is "twenty-three million, four hundred six thousand, nine hundred".
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