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2068961280 = 2113567349
BaseRepresentation
bin111101101010001…
…1101100000000000
312100012010010022120
41323110131200000
513214123230110
6541145004240
7102161611041
oct17324354000
95305103276
102068961280
11971969261
12498a83680
1326c841159
14158aca8c8
15c1985870
hex7b51d800

2068961280 has 96 divisors (see below), whose sum is σ = 6619158000. Its totient is φ = 551714816.

The previous prime is 2068961269. The next prime is 2068961317. The reversal of 2068961280 is 821698602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2955 + ... + 64394.

Almost surely, 22068961280 is an apocalyptic number.

2068961280 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 2068961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309579000).

2068961280 is an abundant number, since it is smaller than the sum of its proper divisors (4550196720).

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

2068961280 is an equidigital number, since it uses as much as digits as its factorization.

2068961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67379 (or 67359 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2068961280 is about 45485.8360371666. The cubic root of 2068961280 is about 1274.2386904526.

The spelling of 2068961280 in words is "two billion, sixty-eight million, nine hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 67349 134698 202047 269396 336745 404094 538792 673490 808188 1010235 1077584 1346980 1616376 2020470 2155168 2693960 3232752 4040940 4310336 5387920 6465504 8081880 8620672 10775840 12931008 16163760 17241344 21551680 25862016 32327520 34482688 43103360 51724032 64655040 68965376 86206720 103448064 129310080 137930752 172413440 206896128 258620160 344826880 413792256 517240320 689653760 1034480640 2068961280