Search a number
-
+
487134000 = 2434533197
BaseRepresentation
bin11101000010010…
…001001100110000
31020221121222020000
4131002101030300
51444201242000
6120200550000
715033366513
oct3502211460
91227558200
10487134000
1122aa79a91
12117182300
1379bcbb92
14489a6d7a
152cb76000
hex1d091330

487134000 has 400 divisors, whose sum is σ = 1835049216. Its totient is φ = 124416000.

The previous prime is 487133957. The next prime is 487134029. The reversal of 487134000 is 431784.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5021952 + ... + 5022048.

Almost surely, 2487134000 is an apocalyptic number.

487134000 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 487134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917524608).

487134000 is an abundant number, since it is smaller than the sum of its proper divisors (1347915216).

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

487134000 is a wasteful number, since it uses less digits than its factorization.

487134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 487134000 is about 22071.1123417013. The cubic root of 487134000 is about 786.8334495875.

Adding to 487134000 its reverse (431784), we get a palindrome (487565784).

The spelling of 487134000 in words is "four hundred eighty-seven million, one hundred thirty-four thousand".