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2027028240 = 2436534757
BaseRepresentation
bin111100011010001…
…1111111100010000
312020021012201000000
41320310133330100
513122404400430
6533050130000
7101142312216
oct17064377420
95207181000
102027028240
11950228356
12486a20900
13263c4b7c3
141532d2cb6
15bce50e60
hex78d1ff10

2027028240 has 140 divisors (see below), whose sum is σ = 7066231884. Its totient is φ = 540525312.

The previous prime is 2027028229. The next prime is 2027028247. The reversal of 2027028240 is 428207202.

It can be written as a sum of positive squares in 2 ways, for example, as 606341376 + 1420686864 = 24624^2 + 37692^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2027028247) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 40942 + ... + 75698.

Almost surely, 22027028240 is an apocalyptic number.

2027028240 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 2027028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533115942).

2027028240 is an abundant number, since it is smaller than the sum of its proper divisors (5039203644).

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

2027028240 is an equidigital number, since it uses as much as digits as its factorization.

2027028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34788 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2027028240 is about 45022.5303598099. The cubic root of 2027028240 is about 1265.5712480875.

The spelling of 2027028240 in words is "two billion, twenty-seven million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 29160 34757 58320 69514 104271 139028 173785 208542 278056 312813 347570 417084 521355 556112 625626 695140 834168 938439 1042710 1251252 1390280 1564065 1668336 1876878 2085420 2502504 2780560 2815317 3128130 3753756 4170840 4692195 5005008 5630634 6256260 7507512 8341680 8445951 9384390 11261268 12512520 14076585 15015024 16891902 18768780 22522536 25025040 25337853 28153170 33783804 37537560 42229755 45045072 50675706 56306340 67567608 75075120 84459510 101351412 112612680 126689265 135135216 168919020 202702824 225225360 253378530 337838040 405405648 506757060 675676080 1013514120 2027028240