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2064700440 = 2332511331139
BaseRepresentation
bin111101100010000…
…1101010000011000
312022220002122112200
41323010031100120
513212030403230
6540513410200
7102110443545
oct17304152030
95286078480
102064700440
1196a519000
12497569960
1326b9ab94a
141582dbbcc
15c13e3160
hex7b10d418

2064700440 has 384 divisors, whose sum is σ = 7673702400. Its totient is φ = 480902400.

The previous prime is 2064700433. The next prime is 2064700441. The reversal of 2064700440 is 440074602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064700441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14853891 + ... + 14854029.

It is an arithmetic number, because the mean of its divisors is an integer number (19983600).

Almost surely, 22064700440 is an apocalyptic number.

2064700440 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 2064700440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836851200).

2064700440 is an abundant number, since it is smaller than the sum of its proper divisors (5609001960).

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

2064700440 is a wasteful number, since it uses less digits than its factorization.

2064700440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2064700440 is about 45438.9749004090. The cubic root of 2064700440 is about 1273.3633625646.

The spelling of 2064700440 in words is "two billion, sixty-four million, seven hundred thousand, four hundred forty".