Search a number
-
+
988001280 = 21033571021
BaseRepresentation
bin111010111000111…
…011010000000000
32112212002122222000
4322320323100000
54010412020110
6242012144000
733324605130
oct7270732000
92485078860
10988001280
11467778a92
12236a68000
131298c8956
1495306ac0
155bb111c0
hex3ae3b400

988001280 has 352 divisors, whose sum is σ = 4016705280. Its totient is φ = 225607680.

The previous prime is 988001237. The next prime is 988001293. The reversal of 988001280 is 82100889.

It is a super-2 number, since 2×9880012802 = 1952293058563276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 967170 + ... + 968190.

Almost surely, 2988001280 is an apocalyptic number.

988001280 is a gapful number since it is divisible by the number (90) 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 988001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008352640).

988001280 is an abundant number, since it is smaller than the sum of its proper divisors (3028704000).

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

988001280 is a wasteful number, since it uses less digits than its factorization.

988001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 988001280 is about 31432.4876521092. The cubic root of 988001280 is about 995.9843225867.

The spelling of 988001280 in words is "nine hundred eighty-eight million, one thousand, two hundred eighty".