Base | Representation |
---|---|
bin | 100010111000… |
… | …000010000000 |
3 | 122012111000102 |
4 | 202320002000 |
5 | 4320024100 |
6 | 523541532 |
7 | 140465141 |
oct | 42700200 |
9 | 18174012 |
10 | 9142400 |
11 | 5184903 |
12 | 308a8a8 |
13 | 1b81407 |
14 | 12ddac8 |
15 | c08cd5 |
hex | 8b8080 |
9142400 has 48 divisors (see below), whose sum is σ = 22592490. Its totient is φ = 3655680.
The previous prime is 9142391. The next prime is 9142411. The reversal of 9142400 is 42419.
It can be written as a sum of positive squares in 3 ways, for example, as 7441984 + 1700416 = 2728^2 + 1304^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an Ulam number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1772 + ... + 4628.
Almost surely, 29142400 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 9142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296245).
9142400 is an abundant number, since it is smaller than the sum of its proper divisors (13450090).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9142400 is a wasteful number, since it uses less digits than its factorization.
9142400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2881 (or 2864 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
The square root of 9142400 is about 3023.6401902343. The cubic root of 9142400 is about 209.0996983187.
Adding to 9142400 its reverse (42419), we get a palindrome (9184819).
The spelling of 9142400 in words is "nine million, one hundred forty-two thousand, four hundred".
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