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2050721280 = 2933529669
BaseRepresentation
bin111101000111011…
…1000011000000000
312021220210102202000
41322032320120000
513144441040110
6535254024000
7101550562146
oct17216703000
95256712660
102050721280
11962640283
12492948000
13268b25b5a
141564dd596
15c00811c0
hex7a3b8600

2050721280 has 160 divisors (see below), whose sum is σ = 7284578400. Its totient is φ = 546840576.

The previous prime is 2050721279. The next prime is 2050721287. The reversal of 2050721280 is 821270502.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050721287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54286 + ... + 83954.

It is an arithmetic number, because the mean of its divisors is an integer number (45528615).

Almost surely, 22050721280 is an apocalyptic number.

2050721280 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 2050721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642289200).

2050721280 is an abundant number, since it is smaller than the sum of its proper divisors (5233857120).

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

2050721280 is an equidigital number, since it uses as much as digits as its factorization.

2050721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29701 (or 29679 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2050721280 is about 45284.8901952958. The cubic root of 2050721280 is about 1270.4830617374.

Adding to 2050721280 its reverse (821270502), we get a palindrome (2871991782).

The spelling of 2050721280 in words is "two billion, fifty million, seven hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 29669 34560 59338 69120 89007 118676 148345 178014 237352 267021 296690 356028 445035 474704 534042 593380 712056 801063 890070 949408 1068084 1186760 1335105 1424112 1602126 1780140 1898816 2136168 2373520 2670210 2848224 3204252 3560280 3797632 4005315 4272336 4747040 5340420 5696448 6408504 7120560 7595264 8010630 8544672 9494080 10680840 11392896 12817008 14241120 15190528 16021260 17089344 18988160 21361680 22785792 25634016 28482240 32042520 34178688 37976320 42723360 45571584 51268032 56964480 64085040 68357376 75952640 85446720 102536064 113928960 128170080 136714752 170893440 205072128 227857920 256340160 341786880 410144256 512680320 683573760 1025360640 2050721280