Search a number
-
+
2987504520 = 233572112131719
BaseRepresentation
bin1011001000010001…
…1011001110001000
321201012111221202120
42302010123032020
522104300121040
61212240331240
7134014240500
oct26204331610
97635457676
102987504520
1112a3406400
126b4613b20
13387c2ab70
14204ab2a00
151274267d0
hexb211b388

2987504520 has 1152 divisors, whose sum is σ = 13754966400. Its totient is φ = 510935040.

The previous prime is 2987504497. The next prime is 2987504557. The reversal of 2987504520 is 254057892.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 157237071 + ... + 157237089.

It is an arithmetic number, because the mean of its divisors is an integer number (11940075).

Almost surely, 22987504520 is an apocalyptic number.

2987504520 is a gapful number since it is divisible by the number (20) 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 2987504520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877483200).

2987504520 is an abundant number, since it is smaller than the sum of its proper divisors (10767461880).

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

2987504520 is a wasteful number, since it uses less digits than its factorization.

2987504520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2987504520 is about 54658.0691206706. The cubic root of 2987504520 is about 1440.2443836774.

The spelling of 2987504520 in words is "two billion, nine hundred eighty-seven million, five hundred four thousand, five hundred twenty".