Search a number
-
+
282530080 = 2557236037
BaseRepresentation
bin10000110101110…
…001000100100000
3201200122000102001
4100311301010200
51034311430310
644011333344
710000315600
oct2065610440
9650560361
10282530080
11135532038
127a751254
13466c2181
1429746c00
1519c0c93a
hex10d71120

282530080 has 72 divisors (see below), whose sum is σ = 776474748. Its totient is φ = 96864768.

The previous prime is 282530077. The next prime is 282530147. The reversal of 282530080 is 80035282.

It can be written as a sum of positive squares in 2 ways, for example, as 257409936 + 25120144 = 16044^2 + 5012^2 .

It is a super-2 number, since 2×2825300802 = 159646492209612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10179 + ... + 25858.

Almost surely, 2282530080 is an apocalyptic number.

282530080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282530080 is an abundant number, since it is smaller than the sum of its proper divisors (493944668).

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

282530080 is a wasteful number, since it uses less digits than its factorization.

282530080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36066 (or 36051 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 282530080 is about 16808.6311161855. The cubic root of 282530080 is about 656.1778468820.

The spelling of 282530080 in words is "two hundred eighty-two million, five hundred thirty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 36037 72074 144148 180185 252259 288296 360370 504518 576592 720740 1009036 1153184 1261295 1441480 1765813 2018072 2522590 2882960 3531626 4036144 5045180 5765920 7063252 8072288 8829065 10090360 14126504 17658130 20180720 28253008 35316260 40361440 56506016 70632520 141265040 282530080