Base | Representation |
---|---|
bin | 1000001010111010001000 |
3 | 11000211001010 |
4 | 20022322020 |
5 | 1022014312 |
6 | 113523520 |
7 | 24130260 |
oct | 10127210 |
9 | 4024033 |
10 | 2141832 |
11 | 1233210 |
12 | 8735a0 |
13 | 59cb74 |
14 | 3da7a0 |
15 | 2c493c |
hex | 20ae88 |
2141832 has 128 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 518400.
The previous prime is 2141827. The next prime is 2141849. The reversal of 2141832 is 2381412.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is an alternating number because its digits alternate between even and odd.
It is a junction number, because it is equal to n+sod(n) for n = 2141799 and 2141808.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35082 + ... + 35142.
It is an arithmetic number, because the mean of its divisors is an integer number (55800).
22141832 is an apocalyptic number.
2141832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a pronic number, being equal to 1463×1464.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2141832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).
2141832 is an abundant number, since it is smaller than the sum of its proper divisors (5000568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2141832 is a wasteful number, since it uses less digits than its factorization.
2141832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 107 (or 103 counting only the distinct ones).
The product of its digits is 384, while the sum is 21.
The square root of 2141832 is about 1463.4999145883. The cubic root of 2141832 is about 128.9026367068.
It can be divided in two parts, 214183 and 2, that added together give a triangular number (214185 = T654).
The spelling of 2141832 in words is "two million, one hundred forty-one thousand, eight hundred thirty-two".
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