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2082041280 = 2633511191153
BaseRepresentation
bin111110000011001…
…0110110111000000
312101002201122201000
41330012112313000
513231000310110
6542333212000
7102411026124
oct17406266700
95332648630
102082041280
11979292480
124a1331000
132724708b7
1415a733584
15c2bbb1c0
hex7c196dc0

2082041280 has 448 divisors, whose sum is σ = 8441740800. Its totient is φ = 477757440.

The previous prime is 2082041267. The next prime is 2082041309. The reversal of 2082041280 is 821402802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1805184 + ... + 1806336.

Almost surely, 22082041280 is an apocalyptic number.

2082041280 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 2082041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220870400).

2082041280 is an abundant number, since it is smaller than the sum of its proper divisors (6359699520).

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

2082041280 is a wasteful number, since it uses less digits than its factorization.

2082041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2082041280 is about 45629.3905284741. The cubic root of 2082041280 is about 1276.9183026795.

The spelling of 2082041280 in words is "two billion, eighty-two million, forty-one thousand, two hundred eighty".