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2020872888 = 233429313469
BaseRepresentation
bin111100001110100…
…0001001010111000
312012211121222110000
41320131001022320
513114320413023
6532310153000
7101036064456
oct17035011270
95184558400
102020872888
11947803791
12484952760
132628a4b98
1415256d9d6
15bc637243
hex787412b8

2020872888 has 160 divisors (see below), whose sum is σ = 6046128000. Its totient is φ = 629233920.

The previous prime is 2020872883. The next prime is 2020872899. The reversal of 2020872888 is 8882780202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020872883) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 580818 + ... + 584286.

It is an arithmetic number, because the mean of its divisors is an integer number (37788300).

Almost surely, 22020872888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020872888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023064000).

2020872888 is an abundant number, since it is smaller than the sum of its proper divisors (4025255112).

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

2020872888 is a wasteful number, since it uses less digits than its factorization.

2020872888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2020872888 is about 44954.1198112031. The cubic root of 2020872888 is about 1264.2889217631.

It can be divided in two parts, 20208 and 72888, that added together give a triangular number (93096 = T431).

The spelling of 2020872888 in words is "two billion, twenty million, eight hundred seventy-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 81 87 93 108 116 124 162 174 186 216 232 248 261 279 324 348 372 522 558 648 696 744 783 837 899 1044 1116 1566 1674 1798 2088 2232 2349 2511 2697 3132 3348 3469 3596 4698 5022 5394 6264 6696 6938 7192 8091 9396 10044 10407 10788 13876 16182 18792 20088 20814 21576 24273 27752 31221 32364 41628 48546 62442 64728 72819 83256 93663 97092 100601 107539 124884 145638 187326 194184 201202 215078 249768 280989 291276 301803 322617 374652 402404 430156 561978 582552 603606 645234 749304 804808 860312 905409 967851 1123956 1207212 1290468 1810818 1935702 2247912 2414424 2580936 2716227 2903553 3118631 3621636 3871404 5432454 5807106 6237262 7243272 7742808 8148681 8710659 9355893 10864908 11614212 12474524 16297362 17421318 18711786 21729816 23228424 24949048 28067679 32594724 34842636 37423572 56135358 65189448 69685272 74847144 84203037 112270716 168406074 224541432 252609111 336812148 505218222 673624296 1010436444 2020872888