Search a number
-
+
2987228160 = 21035574
BaseRepresentation
bin1011001000001101…
…0111110000000000
321201011222220200000
42302003113300000
522104212300120
61212230400000
7134012010000
oct26203276000
97634886600
102987228160
1112a3237804
126b4500000
13387b62137
14204a40000
151273be990
hexb20d7c00

2987228160 has 660 divisors, whose sum is σ = 12522285048. Its totient is φ = 682795008.

The previous prime is 2987228159. The next prime is 2987228161. The reversal of 2987228160 is 618227892.

It is an interprime number because it is at equal distance from previous prime (2987228159) and next prime (2987228161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987228161) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 426746877 + ... + 426746883.

Almost surely, 22987228160 is an apocalyptic number.

2987228160 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 2987228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261142524).

2987228160 is an abundant number, since it is smaller than the sum of its proper divisors (9535056888).

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

2987228160 is an frugal number, since it uses more digits than its factorization.

2987228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2987228160 is about 54655.5409816791. The cubic root of 2987228160 is about 1440.1999722287.

The spelling of 2987228160 in words is "two billion, nine hundred eighty-seven million, two hundred twenty-eight thousand, one hundred sixty".