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2039066640 = 2432513217849
BaseRepresentation
bin111100110001001…
…1011000000010000
312021002212022120200
41321202123000100
513134000113030
6534200135200
7101346531462
oct17142330020
95232768520
102039066640
11956aaaa46
1248aa67500
132665a5110
14154b48132
15be02cd60
hex7989b010

2039066640 has 120 divisors (see below), whose sum is σ = 7374658200. Its totient is φ = 501921792.

The previous prime is 2039066621. The next prime is 2039066641. The reversal of 2039066640 is 466609302.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 2039064336 = 48^2 + 45156^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2039066595 and 2039066604.

It is not an unprimeable number, because it can be changed into a prime (2039066641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99565 + ... + 118284.

It is an arithmetic number, because the mean of its divisors is an integer number (61455485).

Almost surely, 22039066640 is an apocalyptic number.

2039066640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2039066640 is an abundant number, since it is smaller than the sum of its proper divisors (5335591560).

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

2039066640 is a wasteful number, since it uses less digits than its factorization.

2039066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217881 (or 217872 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2039066640 is about 45156.0255115527. The cubic root of 2039066640 is about 1268.0716887026.

The spelling of 2039066640 in words is "two billion, thirty-nine million, sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 217849 435698 653547 871396 1089245 1307094 1742792 1960641 2178490 2614188 2832037 3267735 3485584 3921282 4356980 5228376 5664074 6535470 7842564 8496111 8713960 9803205 10456752 11328148 13070940 14160185 15685128 16992222 17427920 19606410 22656296 25488333 26141880 28320370 31370256 33984444 39212820 42480555 45312592 50976666 52283760 56640740 67968888 78425640 84961110 101953332 113281480 127441665 135937776 156851280 169922220 203906664 226562960 254883330 339844440 407813328 509766660 679688880 1019533320 2039066640