Search a number
-
+
453366540 = 22325111713469
BaseRepresentation
bin11011000001011…
…101001100001100
31011121002101222100
4123001131030030
51412030212130
6112553115100
714143360224
oct3301351414
91147071870
10453366540
11212a05aa0
121079b8a90
1372c08133
14442d7084
1529c05c60
hex1b05d30c

453366540 has 144 divisors (see below), whose sum is σ = 1588597920. Its totient is φ = 103434240.

The previous prime is 453366539. The next prime is 453366553. The reversal of 453366540 is 45663354.

453366540 is a `hidden beast` number, since 4 + 53 + 3 + 66 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 453366495 and 453366504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26926 + ... + 40394.

It is an arithmetic number, because the mean of its divisors is an integer number (11031930).

Almost surely, 2453366540 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 453366540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794298960).

453366540 is an abundant number, since it is smaller than the sum of its proper divisors (1135231380).

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

453366540 is a wasteful number, since it uses less digits than its factorization.

453366540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13507 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 453366540 is about 21292.4056884139. The cubic root of 453366540 is about 768.2156580238.

The spelling of 453366540 in words is "four hundred fifty-three million, three hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 13469 16830 26938 33660 40407 53876 67345 80814 121221 134690 148159 161628 202035 228973 242442 269380 296318 404070 444477 457946 484884 592636 606105 686919 740795 808140 888954 915892 1144865 1212210 1333431 1373838 1481590 1777908 2060757 2222385 2289730 2424420 2518703 2666862 2747676 2963180 3434595 4121514 4444770 4579460 5037406 5333724 6667155 6869190 7556109 8243028 8889540 10074812 10303785 12593515 13334310 13738380 15112218 20607570 22668327 25187030 26668620 30224436 37780545 41215140 45336654 50374060 75561090 90673308 113341635 151122180 226683270 453366540