Search a number
-
+
3087504 = 243371021
BaseRepresentation
bin1011110001110010010000
312210212021000
423301302100
51242300004
6150102000
735146320
oct13616220
95725230
103087504
111819762
12104a900
13841434
145a5280
1540ec39
hex2f1c90

3087504 has 80 divisors (see below), whose sum is σ = 10138240. Its totient is φ = 881280.

The previous prime is 3087479. The next prime is 3087509. The reversal of 3087504 is 4057803.

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

It is not an unprimeable number, because it can be changed into a prime (3087509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2514 + ... + 3534.

It is an arithmetic number, because the mean of its divisors is an integer number (126728).

Almost surely, 23087504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3087504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069120).

3087504 is an abundant number, since it is smaller than the sum of its proper divisors (7050736).

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

3087504 is a wasteful number, since it uses less digits than its factorization.

3087504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3087504 is about 1757.1294773010. The cubic root of 3087504 is about 145.6137913113.

Subtracting 3087504 from its reverse (4057803), we obtain a cube (970299 = 993).

The spelling of 3087504 in words is "three million, eighty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1021 1512 2042 3024 3063 4084 6126 7147 8168 9189 12252 14294 16336 18378 21441 24504 27567 28588 36756 42882 49008 55134 57176 64323 73512 85764 110268 114352 128646 147024 171528 192969 220536 257292 343056 385938 441072 514584 771876 1029168 1543752 3087504