[go: up one dir, main page]

Search a number
-
+
68280480 = 2532547417
BaseRepresentation
bin1000001000111…
…10000010100000
311202111000012200
410010132002200
5114434433410
610435253200
71456242312
oct404360240
9152430180
1068280480
11355a7154
121aa4a200
13111b8c68
1490d57b2
155edb3c0
hex411e0a0

68280480 has 72 divisors (see below), whose sum is σ = 233012052. Its totient is φ = 18207744.

The previous prime is 68280479. The next prime is 68280481. The reversal of 68280480 is 8408286.

It is an interprime number because it is at equal distance from previous prime (68280479) and next prime (68280481).

It can be written as a sum of positive squares in 2 ways, for example, as 62916624 + 5363856 = 7932^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (68280481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22269 + ... + 25148.

Almost surely, 268280480 is an apocalyptic number.

68280480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68280480 is an abundant number, since it is smaller than the sum of its proper divisors (164731572).

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

68280480 is a wasteful number, since it uses less digits than its factorization.

68280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47438 (or 47427 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68280480 is about 8263.2003485332. The cubic root of 68280480 is about 408.7259279374.

The spelling of 68280480 in words is "sixty-eight million, two hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 47417 94834 142251 189668 237085 284502 379336 426753 474170 569004 711255 758672 853506 948340 1138008 1422510 1517344 1707012 1896680 2133765 2276016 2845020 3414024 3793360 4267530 4552032 5690040 6828048 7586720 8535060 11380080 13656096 17070120 22760160 34140240 68280480