| Base | Representation |
|---|---|
| bin | 1000000110000010101100 |
| 3 | 10222210200220 |
| 4 | 20012002230 |
| 5 | 1020400100 |
| 6 | 113251340 |
| 7 | 24015204 |
| oct | 10060254 |
| 9 | 3883626 |
| 10 | 2121900 |
| 11 | 121a240 |
| 12 | 863b50 |
| 13 | 593a81 |
| 14 | 3d3404 |
| 15 | 2bdaa0 |
| hex | 2060ac |
2121900 has 72 divisors (see below), whose sum is σ = 6707904. Its totient is φ = 513600.
The previous prime is 2121893. The next prime is 2121907. The reversal of 2121900 is 91212.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2121893) and next prime (2121907).
It is a super-2 number, since 2×21219002 = 9004919220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2121900.
It is not an unprimeable number, because it can be changed into a prime (2121907) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2979 + ... + 3621.
22121900 is an apocalyptic number.
2121900 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 2121900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353952).
2121900 is an abundant number, since it is smaller than the sum of its proper divisors (4586004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2121900 is a wasteful number, since it uses less digits than its factorization.
2121900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 671 (or 664 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
The square root of 2121900 is about 1456.6742944118. The cubic root of 2121900 is about 128.5015316729.
It can be divided in two parts, 212 and 1900, that added together give a palindrome (2112).
The spelling of 2121900 in words is "two million, one hundred twenty-one thousand, nine hundred".
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