Search a number
-
+
453134600 = 23528925457
BaseRepresentation
bin11011000000100…
…100100100001000
31011120122121210222
4123000210210020
51412000301400
6112544125212
714141403062
oct3300444410
91146577728
10453134600
11212867806
12107906808
1372b566a9
1444276732
1529bac185
hex1b024908

453134600 has 48 divisors (see below), whose sum is σ = 1065417300. Its totient is φ = 179210240.

The previous prime is 453134587. The next prime is 453134623. The reversal of 453134600 is 6431354.

It can be written as a sum of positive squares in 6 ways, for example, as 11546404 + 441588196 = 3398^2 + 21014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 453134600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5072 + ... + 30528.

Almost surely, 2453134600 is an apocalyptic number.

453134600 is a gapful number since it is divisible by the number (40) 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 453134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532708650).

453134600 is an abundant number, since it is smaller than the sum of its proper divisors (612282700).

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

453134600 is a wasteful number, since it uses less digits than its factorization.

453134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25562 (or 25553 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 453134600 is about 21286.9584487780. The cubic root of 453134600 is about 768.0846306115.

Adding to 453134600 its reverse (6431354), we get a palindrome (459565954).

The spelling of 453134600 in words is "four hundred fifty-three million, one hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 25457 50914 101828 127285 203656 254570 509140 636425 1018280 1272850 2265673 2545700 4531346 5091400 9062692 11328365 18125384 22656730 45313460 56641825 90626920 113283650 226567300 453134600