Search a number
-
+
2832630000 = 2435494421
BaseRepresentation
bin1010100011010110…
…1000000011110000
321022102002111212020
42220311220003300
521300123130000
61145025031440
7130123646334
oct25065500360
97272074766
102832630000
111223a44932
12670785580
13361b13335
141cc2b97c4
15118a32ba0
hexa8d680f0

2832630000 has 100 divisors (see below), whose sum is σ = 9144204168. Its totient is φ = 755360000.

The previous prime is 2832629999. The next prime is 2832630001. The reversal of 2832630000 is 362382.

It is an interprime number because it is at equal distance from previous prime (2832629999) and next prime (2832630001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832630001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17211 + ... + 77210.

Almost surely, 22832630000 is an apocalyptic number.

2832630000 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 2832630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572102084).

2832630000 is an abundant number, since it is smaller than the sum of its proper divisors (6311574168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2832630000 is an equidigital number, since it uses as much as digits as its factorization.

2832630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94452 (or 94431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2832630000 is about 53222.4576659139. The cubic root of 2832630000 is about 1414.9136949113.

Adding to 2832630000 its reverse (362382), we get a palindrome (2832992382).

The spelling of 2832630000 in words is "two billion, eight hundred thirty-two million, six hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 94421 188842 283263 377684 472105 566526 755368 944210 1133052 1416315 1510736 1888420 2266104 2360525 2832630 3776840 4532208 4721050 5665260 7081575 7553680 9442100 11330520 11802625 14163150 18884200 22661040 23605250 28326300 35407875 37768400 47210500 56652600 59013125 70815750 94421000 113305200 118026250 141631500 177039375 188842000 236052500 283263000 354078750 472105000 566526000 708157500 944210000 1416315000 2832630000