Search a number
-
+
2988800 = 2852467
BaseRepresentation
bin1011011001101100000000
312121211212022
423121230000
51231120200
6144021012
734255463
oct13315400
95554768
102988800
111761591
121001768
13808529
1457b2da
153e0885
hex2d9b00

2988800 has 54 divisors (see below), whose sum is σ = 7413588. Its totient is φ = 1192960.

The previous prime is 2988779. The next prime is 2988841. The reversal of 2988800 is 88892.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6167 + ... + 6633.

22988800 is an apocalyptic number.

2988800 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 2988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706794).

2988800 is an abundant number, since it is smaller than the sum of its proper divisors (4424788).

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

2988800 is an equidigital number, since it uses as much as digits as its factorization.

2988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 2988800 is about 1728.8146227979. The cubic root of 2988800 is about 144.0452532670.

The spelling of 2988800 in words is "two million, nine hundred eighty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 467 640 800 934 1280 1600 1868 2335 3200 3736 4670 6400 7472 9340 11675 14944 18680 23350 29888 37360 46700 59776 74720 93400 119552 149440 186800 298880 373600 597760 747200 1494400 2988800