Search a number
-
+
455130432 = 26326131289
BaseRepresentation
bin11011001000001…
…011110101000000
31011201102000120200
4123020023311000
51413003133212
6113055005200
714164354611
oct3310136500
91151360520
10455130432
11213a00259
12108509800
13733a4c63
1444635c08
1529e536dc
hex1b20bd40

455130432 has 84 divisors (see below), whose sum is σ = 1307691060. Its totient is φ = 151345152.

The previous prime is 455130419. The next prime is 455130433. The reversal of 455130432 is 234031554.

It can be written as a sum of positive squares in 2 ways, for example, as 140564736 + 314565696 = 11856^2 + 17736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 455130396 and 455130405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455130433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352444 + ... + 353732.

Almost surely, 2455130432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653845530).

455130432 is an abundant number, since it is smaller than the sum of its proper divisors (852560628).

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

455130432 is a wasteful number, since it uses less digits than its factorization.

455130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 455130432 is about 21333.7861618607. The cubic root of 455130432 is about 769.2106556546.

Adding to 455130432 its reverse (234031554), we get a palindrome (689161986).

The spelling of 455130432 in words is "four hundred fifty-five million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 613 1226 1289 1839 2452 2578 3678 3867 4904 5156 5517 7356 7734 9808 10312 11034 11601 14712 15468 19616 20624 22068 23202 29424 30936 39232 41248 44136 46404 58848 61872 82496 88272 92808 117696 123744 176544 185616 247488 353088 371232 742464 790157 1580314 2370471 3160628 4740942 6321256 7111413 9481884 12642512 14222826 18963768 25285024 28445652 37927536 50570048 56891304 75855072 113782608 151710144 227565216 455130432