Base | Representation |
---|---|
bin | 1001000000101010001100 |
3 | 11110000001100 |
4 | 21000222030 |
5 | 1101040441 |
6 | 122343100 |
7 | 26035200 |
oct | 11005214 |
9 | 4400040 |
10 | 2361996 |
11 | 137366a |
12 | 95aa90 |
13 | 649140 |
14 | 456b00 |
15 | 319cb6 |
hex | 240a8c |
2361996 has 108 divisors (see below), whose sum is σ = 7552272. Its totient is φ = 616896.
The previous prime is 2361991. The next prime is 2362001. The reversal of 2361996 is 6991632.
It is an interprime number because it is at equal distance from previous prime (2361991) and next prime (2362001).
It is a super-4 number, since 4×23619964 (a number of 27 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 3.
It is a self number, because there is not a number n which added to its sum of digits gives 2361996.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2361991) 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 35 ways as a sum of consecutive naturals, for example, 22881 + ... + 22983.
22361996 is an apocalyptic number.
2361996 is a gapful number since it is divisible by the number (26) 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 2361996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776136).
2361996 is an abundant number, since it is smaller than the sum of its proper divisors (5190276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2361996 is a wasteful number, since it uses less digits than its factorization.
2361996 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 140 (or 128 counting only the distinct ones).
The product of its digits is 17496, while the sum is 36.
The square root of 2361996 is about 1536.8786549367. The cubic root of 2361996 is about 133.1761286118.
The spelling of 2361996 in words is "two million, three hundred sixty-one thousand, nine hundred ninety-six".
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