Search a number
-
+
2010985080 = 23351321719307
BaseRepresentation
bin111011111011101…
…0011001001111000
312012011000121220220
41313313103021320
513104303010310
6531314220040
7100556043156
oct16767231170
95164017826
102010985080
1194216a945
12481584620
13260822400
141511183d6
15bb832670
hex77dd3278

2010985080 has 384 divisors, whose sum is σ = 7304774400. Its totient is φ = 439934976.

The previous prime is 2010985073. The next prime is 2010985091. The reversal of 2010985080 is 805890102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6550287 + ... + 6550593.

It is an arithmetic number, because the mean of its divisors is an integer number (19022850).

Almost surely, 22010985080 is an apocalyptic number.

2010985080 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 2010985080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652387200).

2010985080 is an abundant number, since it is smaller than the sum of its proper divisors (5293789320).

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

2010985080 is a wasteful number, since it uses less digits than its factorization.

2010985080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 2010985080 is about 44844.0082954234. The cubic root of 2010985080 is about 1262.2235617345.

The spelling of 2010985080 in words is "two billion, ten million, nine hundred eighty-five thousand, eighty".