Search a number
-
+
2987320 = 235747227
BaseRepresentation
bin1011011001010100111000
312121202211111
423121110320
51231043240
6144010104
734251250
oct13312470
95552744
102987320
111760466
121000934
1380795b
1457a960
153e01ea
hex2d9538

2987320 has 64 divisors (see below), whose sum is σ = 7879680. Its totient is φ = 998016.

The previous prime is 2987297. The next prime is 2987371. The reversal of 2987320 is 237892.

2987320 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 13047 + ... + 13273.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

22987320 is an apocalyptic number.

2987320 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 2987320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939840).

2987320 is an abundant number, since it is smaller than the sum of its proper divisors (4892360).

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

2987320 is a wasteful number, since it uses less digits than its factorization.

2987320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2987320 is about 1728.3865308431. The cubic root of 2987320 is about 144.0214731352.

The spelling of 2987320 in words is "two million, nine hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 227 235 280 329 376 454 470 658 908 940 1135 1316 1589 1645 1816 1880 2270 2632 3178 3290 4540 6356 6580 7945 9080 10669 12712 13160 15890 21338 31780 42676 53345 63560 74683 85352 106690 149366 213380 298732 373415 426760 597464 746830 1493660 2987320