Search a number
-
+
487111680 = 21032511312
BaseRepresentation
bin11101000010001…
…011110000000000
31020221120211121100
4131002023300000
51444200033210
6120200254400
715033244446
oct3502136000
91227524540
10487111680
1122aa64240
12117171400
1379bc1983
144899cb96
152cb6e5c0
hex1d08bc00

487111680 has 396 divisors, whose sum is σ = 1902580056. Its totient is φ = 114278400.

The previous prime is 487111679. The next prime is 487111747. The reversal of 487111680 is 86111784.

487111680 is a `hidden beast` number, since 487 + 11 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15713265 + ... + 15713295.

Almost surely, 2487111680 is an apocalyptic number.

487111680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951290028).

487111680 is an abundant number, since it is smaller than the sum of its proper divisors (1415468376).

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

487111680 is a wasteful number, since it uses less digits than its factorization.

487111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 487111680 is about 22070.6066975967. The cubic root of 487111680 is about 786.8214320928.

The spelling of 487111680 in words is "four hundred eighty-seven million, one hundred eleven thousand, six hundred eighty".