Search a number
-
+
450162780 = 223531415903
BaseRepresentation
bin11010110101001…
…111000001011100
31011101001122020120
4122311033001130
51410220202110
6112400314540
714104214634
oct3265170134
91141048216
10450162780
11211117a61
12106912a50
1372355b12
1443b016c4
15297c1870
hex1ad4f05c

450162780 has 96 divisors (see below), whose sum is σ = 1333075968. Its totient is φ = 113318400.

The previous prime is 450162773. The next prime is 450162799. The reversal of 450162780 is 87261054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73309 + ... + 79211.

It is an arithmetic number, because the mean of its divisors is an integer number (13886208).

Almost surely, 2450162780 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 450162780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666537984).

450162780 is an abundant number, since it is smaller than the sum of its proper divisors (882913188).

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

450162780 is a wasteful number, since it uses less digits than its factorization.

450162780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 450162780 is about 21217.0398500828. The cubic root of 450162780 is about 766.4018211429.

The spelling of 450162780 in words is "four hundred fifty million, one hundred sixty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 615 620 820 930 1230 1271 1860 2460 2542 3813 5084 5903 6355 7626 11806 12710 15252 17709 19065 23612 25420 29515 35418 38130 59030 70836 76260 88545 118060 177090 182993 242023 354180 365986 484046 548979 726069 731972 914965 968092 1097958 1210115 1452138 1829930 2195916 2420230 2744895 2904276 3630345 3659860 4840460 5489790 7260690 7502713 10979580 14521380 15005426 22508139 30010852 37513565 45016278 75027130 90032556 112540695 150054260 225081390 450162780