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455314530 = 235112432917
BaseRepresentation
bin11011001000111…
…000110001100010
31011201202101010010
4123020320301202
51413030031110
6113102545350
714166052416
oct3310706142
91151671103
10455314530
11214016600
12108598256
137343a9a8
1444682d46
1529e8d020
hex1b238c62

455314530 has 96 divisors (see below), whose sum is σ = 1229481792. Its totient is φ = 107775360.

The previous prime is 455314481. The next prime is 455314543. The reversal of 455314530 is 35413554.

It is a super-2 number, since 2×4553145302 = 414622642458241800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 154632 + ... + 157548.

It is an arithmetic number, because the mean of its divisors is an integer number (12807102).

Almost surely, 2455314530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455314530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614740896).

455314530 is an abundant number, since it is smaller than the sum of its proper divisors (774167262).

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

455314530 is a wasteful number, since it uses less digits than its factorization.

455314530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 455314530 is about 21338.1004309193. The cubic root of 455314530 is about 769.3143556375.

455314530 divided by its sum of digits (30) gives a palindrome (15177151).

The spelling of 455314530 in words is "four hundred fifty-five million, three hundred fourteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 121 129 165 215 242 258 330 363 430 473 605 645 726 946 1210 1290 1419 1815 2365 2838 2917 3630 4730 5203 5834 7095 8751 10406 14190 14585 15609 17502 26015 29170 31218 32087 43755 52030 64174 78045 87510 96261 125431 156090 160435 192522 250862 320870 352957 376293 481305 627155 705914 752586 962610 1058871 1254310 1379741 1764785 1881465 2117742 2759482 3529570 3762930 4139223 5294355 6898705 8278446 10588710 13797410 15177151 20696115 30354302 41392230 45531453 75885755 91062906 151771510 227657265 455314530