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2064529320 = 233573179283
BaseRepresentation
bin111101100001110…
…0011011110101000
312022212202221210220
41323003203132220
513212004414240
6540510010040
7102106131630
oct17303433650
95285687726
102064529320
1196a411487
124974a6920
1326b94baa9
141582956c0
15c13ac5d0
hex7b0e37a8

2064529320 has 128 divisors (see below), whose sum is σ = 7306813440. Its totient is φ = 456664320.

The previous prime is 2064529319. The next prime is 2064529333. The reversal of 2064529320 is 239254602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13602 + ... + 65681.

It is an arithmetic number, because the mean of its divisors is an integer number (57084480).

Almost surely, 22064529320 is an apocalyptic number.

2064529320 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 2064529320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653406720).

2064529320 is an abundant number, since it is smaller than the sum of its proper divisors (5242284120).

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

2064529320 is a wasteful number, since it uses less digits than its factorization.

2064529320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79335 (or 79331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2064529320 is about 45437.0918963791. The cubic root of 2064529320 is about 1273.3281832953.

The spelling of 2064529320 in words is "two billion, sixty-four million, five hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 79283 158566 237849 317132 396415 475698 554981 634264 792830 951396 1109962 1189245 1585660 1664943 1902792 2219924 2378490 2457773 2774905 3171320 3329886 4439848 4756980 4915546 5549810 6659772 7373319 8324715 9513960 9831092 11099620 12288865 13319544 14746638 16649430 17204411 19662184 22199240 24577730 29493276 33298860 34408822 36866595 49155460 51613233 58986552 66597720 68817644 73733190 86022055 98310920 103226466 137635288 147466380 172044110 206452932 258066165 294932760 344088220 412905864 516132330 688176440 1032264660 2064529320