Search a number
-
+
480268760 = 23517369403
BaseRepresentation
bin11100101000000…
…101000111011000
31020110201011212212
4130220011013120
51440422100020
6115353454252
714621134316
oct3450050730
91213634785
10480268760
11227110034
12114a11388
13786670ca
1447adb0b6
152c26bcc5
hex1ca051d8

480268760 has 32 divisors (see below), whose sum is σ = 1086866640. Its totient is φ = 190994304.

The previous prime is 480268721. The next prime is 480268777. The reversal of 480268760 is 67862084.

It is a super-3 number, since 3×4802687603 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27782 + ... + 41621.

Almost surely, 2480268760 is an apocalyptic number.

480268760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480268760 is an abundant number, since it is smaller than the sum of its proper divisors (606597880).

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

480268760 is a wasteful number, since it uses less digits than its factorization.

480268760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69587 (or 69583 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 480268760 is about 21915.0350216467. The cubic root of 480268760 is about 783.1196342774.

The spelling of 480268760 in words is "four hundred eighty million, two hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 69403 138806 277612 347015 555224 694030 1388060 2776120 12006719 24013438 48026876 60033595 96053752 120067190 240134380 480268760