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2012320320 = 26354614547
BaseRepresentation
bin111011111110001…
…1001001001000000
312012020112110112020
41313330121021000
513110123222240
6531403001440
7100603304043
oct16774311100
95166473466
102012320320
119429a204a
12481b09280
13260b9c0aa
14151384c5a
15bb9e80d0
hex77f19240

2012320320 has 112 divisors (see below), whose sum is σ = 6404384448. Its totient is φ = 535336960.

The previous prime is 2012320319. The next prime is 2012320333. The reversal of 2012320320 is 230232102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012320320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440287 + ... + 444833.

It is an arithmetic number, because the mean of its divisors is an integer number (57182004).

Almost surely, 22012320320 is an apocalyptic number.

2012320320 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 2012320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202192224).

2012320320 is an abundant number, since it is smaller than the sum of its proper divisors (4392064128).

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

2012320320 is a wasteful number, since it uses less digits than its factorization.

2012320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2012320320 is about 44858.8934326294. The cubic root of 2012320320 is about 1262.5028607588.

Adding to 2012320320 its reverse (230232102), we get a palindrome (2242552422).

The spelling of 2012320320 in words is "two billion, twelve million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 461 480 922 960 1383 1844 2305 2766 3688 4547 4610 5532 6915 7376 9094 9220 11064 13641 13830 14752 18188 18440 22128 22735 27282 27660 29504 36376 36880 44256 45470 54564 55320 68205 72752 73760 88512 90940 109128 110640 136410 145504 147520 181880 218256 221280 272820 291008 363760 436512 442560 545640 727520 873024 1091280 1455040 2096167 2182560 4192334 4365120 6288501 8384668 10480835 12577002 16769336 20961670 25154004 31442505 33538672 41923340 50308008 62885010 67077344 83846680 100616016 125770020 134154688 167693360 201232032 251540040 335386720 402464064 503080080 670773440 1006160160 2012320320