Base | Representation |
---|---|
bin | 111110101100100… |
… | …1011010101000000 |
3 | 12102121120200012202 |
4 | 1331121023111000 |
5 | 13302030031000 |
6 | 544430412332 |
7 | 103063411520 |
oct | 17531132500 |
9 | 5377520182 |
10 | 2103752000 |
11 | 98a571019 |
12 | 4a86610a8 |
13 | 276b0288c |
14 | 15d585680 |
15 | c4a58dd5 |
hex | 7d64b540 |
2103752000 has 112 divisors (see below), whose sum is σ = 5954377728. Its totient is φ = 721267200.
The previous prime is 2103751987. The next prime is 2103752003. The reversal of 2103752000 is 2573012.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2103752003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37217 + ... + 74783.
Almost surely, 22103752000 is an apocalyptic number.
2103752000 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 2103752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977188864).
2103752000 is an abundant number, since it is smaller than the sum of its proper divisors (3850625728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2103752000 is an equidigital number, since it uses as much as digits as its factorization.
2103752000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37601 (or 37581 counting only the distinct ones).
The product of its (nonzero) digits is 420, while the sum is 20.
The square root of 2103752000 is about 45866.6763565881. The cubic root of 2103752000 is about 1281.3413672698.
It can be divided in two parts, 21037 and 52000, that added together give a palindrome (73037).
The spelling of 2103752000 in words is "two billion, one hundred three million, seven hundred fifty-two thousand".
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