Search a number
-
+
2041451040 = 25354253023
BaseRepresentation
bin111100110101110…
…0001001000100000
312021021100110100210
41321223201020200
513140102413130
6534323214120
7101406022206
oct17153411040
95237313323
102041451040
11958389422
1248b817340
13266c2b4c5
141551a9076
15be34e5b0
hex79ae1220

2041451040 has 48 divisors (see below), whose sum is σ = 6430572288. Its totient is φ = 544386816.

The previous prime is 2041451023. The next prime is 2041451051. The reversal of 2041451040 is 401541402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2041450998 and 2041451016.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2126032 + ... + 2126991.

It is an arithmetic number, because the mean of its divisors is an integer number (133970256).

Almost surely, 22041451040 is an apocalyptic number.

2041451040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041451040 is an abundant number, since it is smaller than the sum of its proper divisors (4389121248).

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

2041451040 is a wasteful number, since it uses less digits than its factorization.

2041451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253041 (or 4253033 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2041451040 is about 45182.4195899246. The cubic root of 2041451040 is about 1268.5657729872.

Adding to 2041451040 its reverse (401541402), we get a palindrome (2442992442).

The spelling of 2041451040 in words is "two billion, forty-one million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4253023 8506046 12759069 17012092 21265115 25518138 34024184 42530230 51036276 63795345 68048368 85060460 102072552 127590690 136096736 170120920 204145104 255181380 340241840 408290208 510362760 680483680 1020725520 2041451040