Search a number
-
+
451004010 = 235234713907
BaseRepresentation
bin11010111000011…
…100011001101010
31011102122101012020
4122320130121222
51410424112020
6112430325310
714114320332
oct3270343152
91142571166
10451004010
11211641a96
12107059836
137258b9a2
1443c800c2
15298dac40
hex1ae1c66a

451004010 has 64 divisors (see below), whose sum is σ = 1153585152. Its totient is φ = 112582976.

The previous prime is 451003991. The next prime is 451004011. The reversal of 451004010 is 10400154.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (451004011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25477 + ... + 39383.

It is an arithmetic number, because the mean of its divisors is an integer number (18024768).

Almost surely, 2451004010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576792576).

451004010 is an abundant number, since it is smaller than the sum of its proper divisors (702581142).

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

451004010 is a wasteful number, since it uses less digits than its factorization.

451004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13987.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 451004010 is about 21236.8549931481. The cubic root of 451004010 is about 766.8789219071.

Adding to 451004010 its reverse (10400154), we get a palindrome (461404164).

The spelling of 451004010 in words is "four hundred fifty-one million, four thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 230 235 282 345 470 690 705 1081 1410 2162 3243 5405 6486 10810 13907 16215 27814 32430 41721 69535 83442 139070 208605 319861 417210 639722 653629 959583 1307258 1599305 1919166 1960887 3198610 3268145 3921774 4797915 6536290 9595830 9804435 15033467 19608870 30066934 45100401 75167335 90200802 150334670 225502005 451004010