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20040965760 = 273512782189
BaseRepresentation
bin10010101010100010…
…001101111010000000
31220201200121112201010
4102222202031322000
5312020441401020
613112351240520
71306430253414
oct225242157200
956650545633
1020040965760
11855466a222
123a73819140
131b7501bc2a
14d8190ad44
157c465dde0
hex4aa88de80

20040965760 has 128 divisors (see below), whose sum is σ = 64384358400. Its totient is φ = 5302112256.

The previous prime is 20040965743. The next prime is 20040965767. The reversal of 20040965760 is 6756904002.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20040965767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202746 + ... + 284934.

It is an arithmetic number, because the mean of its divisors is an integer number (503002800).

Almost surely, 220040965760 is an apocalyptic number.

20040965760 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 20040965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32192179200).

20040965760 is an abundant number, since it is smaller than the sum of its proper divisors (44343392640).

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

20040965760 is a wasteful number, since it uses less digits than its factorization.

20040965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82338 (or 82326 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 20040965760 in words is "twenty billion, forty million, nine hundred sixty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 320 381 384 480 508 635 640 762 960 1016 1270 1524 1905 1920 2032 2540 3048 3810 4064 5080 6096 7620 8128 10160 12192 15240 16256 20320 24384 30480 40640 48768 60960 81280 82189 121920 164378 243840 246567 328756 410945 493134 657512 821890 986268 1232835 1315024 1643780 1972536 2465670 2630048 3287560 3945072 4931340 5260096 6575120 7890144 9862680 10438003 10520192 13150240 15780288 19725360 20876006 26300480 31314009 31560576 39450720 41752012 52190015 52600960 62628018 78901440 83504024 104380030 125256036 156570045 157802880 167008048 208760060 250512072 313140090 334016096 417520120 501024144 626280180 668032192 835040240 1002048288 1252560360 1336064384 1670080480 2004096576 2505120720 3340160960 4008193152 5010241440 6680321920 10020482880 20040965760