Search a number
-
+
453960 = 233251397
BaseRepresentation
bin1101110110101001000
3212001201100
41232311020
5104011320
613421400
73600333
oct1566510
9761640
10453960
11290081
1219a860
1312b820
14bb61a
158e790
hex6ed48

453960 has 96 divisors (see below), whose sum is σ = 1605240. Its totient is φ = 110592.

The previous prime is 453949. The next prime is 453961. The reversal of 453960 is 69354.

453960 = T64 + T65 + ... + T143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 181476 = 522^2 + 426^2 .

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 97 × 65 × 72.

It is not an unprimeable number, because it can be changed into a prime (453961) by changing a digit.

453960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4632 + ... + 4728.

2453960 is an apocalyptic number.

453960 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 453960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802620).

453960 is an abundant number, since it is smaller than the sum of its proper divisors (1151280).

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

453960 is a wasteful number, since it uses less digits than its factorization.

453960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 453960 is about 673.7655378542. The cubic root of 453960 is about 76.8550711776.

It can be divided in two parts, 45 and 3960, that added together give a triangular number (4005 = T89).

The spelling of 453960 in words is "four hundred fifty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 97 104 117 120 130 156 180 194 195 234 260 291 312 360 388 390 468 485 520 582 585 776 780 873 936 970 1164 1170 1261 1455 1560 1746 1940 2328 2340 2522 2910 3492 3783 3880 4365 4680 5044 5820 6305 6984 7566 8730 10088 11349 11640 12610 15132 17460 18915 22698 25220 30264 34920 37830 45396 50440 56745 75660 90792 113490 151320 226980 453960