Base | Representation |
---|---|
bin | 1001001011100111110100 |
3 | 11112021122110 |
4 | 21023213310 |
5 | 1104010100 |
6 | 123331020 |
7 | 26313126 |
oct | 11134764 |
9 | 4467573 |
10 | 2406900 |
11 | 13a4381 |
12 | 980a70 |
13 | 663702 |
14 | 469216 |
15 | 328250 |
hex | 24b9f4 |
2406900 has 72 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 627200.
The previous prime is 2406851. The next prime is 2406919. The reversal of 2406900 is 96042.
2406900 = T44 + T45 + ... + T243.
It is a super-2 number, since 2×24069002 = 11586335220000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21244 + ... + 21356.
It is an arithmetic number, because the mean of its divisors is an integer number (98952).
22406900 is an apocalyptic number.
2406900 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 2406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).
2406900 is an abundant number, since it is smaller than the sum of its proper divisors (4717644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2406900 is a wasteful number, since it uses less digits than its factorization.
2406900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 201 (or 194 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
The square root of 2406900 is about 1551.4187055724. The cubic root of 2406900 is about 134.0147752327.
It can be divided in two parts, 240 and 6900, that added together give a triangular number (7140 = T119).
The spelling of 2406900 in words is "two million, four hundred six thousand, nine hundred".
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