Base | Representation |
---|---|
bin | 1111101010100010100000 |
3 | 21201121220220 |
4 | 33222202200 |
5 | 2022401100 |
6 | 224003040 |
7 | 46622004 |
oct | 17524240 |
9 | 7647826 |
10 | 4106400 |
11 | 2355221 |
12 | 1460480 |
13 | b0a12c |
14 | 78c704 |
15 | 561aa0 |
hex | 3ea8a0 |
4106400 has 144 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1039360.
The previous prime is 4106393. The next prime is 4106407. The reversal of 4106400 is 46014.
It is an interprime number because it is at equal distance from previous prime (4106393) and next prime (4106407).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is an Ulam number.
It is a self number, because there is not a number n which added to its sum of digits gives 4106400.
It is not an unprimeable number, because it can be changed into a prime (4106407) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69571 + ... + 69629.
It is an arithmetic number, because the mean of its divisors is an integer number (97650).
Almost surely, 24106400 is an apocalyptic number.
4106400 is a gapful number since it is divisible by the number (40) 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 4106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).
4106400 is an abundant number, since it is smaller than the sum of its proper divisors (9955200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4106400 is a wasteful number, since it uses less digits than its factorization.
4106400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 111 (or 98 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 4106400 is about 2026.4254242385. The cubic root of 4106400 is about 160.1353022176.
The spelling of 4106400 in words is "four million, one hundred six thousand, four hundred".
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