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2076438320 = 245113496761
BaseRepresentation
bin111101111000011…
…1110111100110000
312100201011222212222
41323300332330300
513223032011240
6542013140212
7102312302015
oct17360767460
95321158788
102076438320
11976105930
1249b48a668
1327125b538
14159ab570c
15c2460eb5
hex7bc3ef30

2076438320 has 80 divisors (see below), whose sum is σ = 5282474400. Its totient is φ = 752793600.

The previous prime is 2076438319. The next prime is 2076438323. The reversal of 2076438320 is 238346702.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2076438323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 303740 + ... + 310500.

It is an arithmetic number, because the mean of its divisors is an integer number (66030930).

Almost surely, 22076438320 is an apocalyptic number.

2076438320 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 2076438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641237200).

2076438320 is an abundant number, since it is smaller than the sum of its proper divisors (3206036080).

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

2076438320 is a wasteful number, since it uses less digits than its factorization.

2076438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 2076438320 is about 45567.9527738519. The cubic root of 2076438320 is about 1275.7718397227.

The spelling of 2076438320 in words is "two billion, seventy-six million, four hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 349 440 698 880 1396 1745 2792 3490 3839 5584 6761 6980 7678 13522 13960 15356 19195 27044 27920 30712 33805 38390 54088 61424 67610 74371 76780 108176 135220 148742 153560 270440 297484 307120 371855 540880 594968 743710 1189936 1487420 2359589 2974840 4719178 5949680 9438356 11797945 18876712 23595890 25955479 37753424 47191780 51910958 94383560 103821916 129777395 188767120 207643832 259554790 415287664 519109580 1038219160 2076438320