Search a number
-
+
40453360 = 2451373691
BaseRepresentation
bin1001101001010…
…0010011110000
32211010020120121
42122110103300
540324001420
64003020024
71000563553
oct232242360
984106517
1040453360
1120920232
121166a614
1384c4ccc
14553069a
1538412aa
hex26944f0

40453360 has 40 divisors (see below), whose sum is σ = 94766256. Its totient is φ = 16058880.

The previous prime is 40453349. The next prime is 40453373. The reversal of 40453360 is 6335404.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9115 + ... + 12805.

Almost surely, 240453360 is an apocalyptic number.

40453360 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 40453360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47383128).

40453360 is an abundant number, since it is smaller than the sum of its proper divisors (54312896).

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

40453360 is a wasteful number, since it uses less digits than its factorization.

40453360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 40453360 is about 6360.2955906153. The cubic root of 40453360 is about 343.2823962724.

Adding to 40453360 its reverse (6335404), we get a palindrome (46788764).

The spelling of 40453360 in words is "forty million, four hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 3691 5480 7382 10960 14764 18455 29528 36910 59056 73820 147640 295280 505667 1011334 2022668 2528335 4045336 5056670 8090672 10113340 20226680 40453360