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2082014280 = 233552367139
BaseRepresentation
bin111110000011001…
…0000010001001000
312101002200021200000
41330012100101020
513230443424110
6542332443000
7102410554323
oct17406202110
95332607600
102082014280
11979274165
124a1319460
13272461518
1415a7277ba
15c2bb31c0
hex7c190448

2082014280 has 384 divisors, whose sum is σ = 7485004800. Its totient is φ = 519374592.

The previous prime is 2082014279. The next prime is 2082014321. The reversal of 2082014280 is 824102802.

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

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 95 ways as a sum of consecutive naturals, for example, 14978451 + ... + 14978589.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 22082014280 is an apocalyptic number.

2082014280 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 2082014280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742502400).

2082014280 is an abundant number, since it is smaller than the sum of its proper divisors (5402990520).

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

2082014280 is a wasteful number, since it uses less digits than its factorization.

2082014280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

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

The square root of 2082014280 is about 45629.0946655749. The cubic root of 2082014280 is about 1276.9127829453.

The spelling of 2082014280 in words is "two billion, eighty-two million, fourteen thousand, two hundred eighty".