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2064906000 = 24335338239
BaseRepresentation
bin111101100010011…
…1111011100010000
312022220111002112000
41323010333130100
513212103443000
6540522034000
7102112261053
oct17304773420
95286432460
102064906000
1196a649493
12497648900
1326ba51391
14158352a9a
15c1434000
hex7b13f710

2064906000 has 160 divisors (see below), whose sum is σ = 7397145600. Its totient is φ = 550627200.

The previous prime is 2064905989. The next prime is 2064906017. The reversal of 2064906000 is 6094602.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34881 + ... + 73119.

It is an arithmetic number, because the mean of its divisors is an integer number (46232160).

Almost surely, 22064906000 is an apocalyptic number.

2064906000 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 2064906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698572800).

2064906000 is an abundant number, since it is smaller than the sum of its proper divisors (5332239600).

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

2064906000 is a wasteful number, since it uses less digits than its factorization.

2064906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38271 (or 38249 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2064906000 is about 45441.2367789434. The cubic root of 2064906000 is about 1273.4056195238.

The spelling of 2064906000 in words is "two billion, sixty-four million, nine hundred six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 38239 54000 76478 114717 152956 191195 229434 305912 344151 382390 458868 573585 611824 688302 764780 917736 955975 1032453 1147170 1376604 1529560 1720755 1835472 1911950 2064906 2294340 2753208 2867925 3059120 3441510 3823900 4129812 4588680 4779875 5162265 5506416 5735850 6883020 7647800 8259624 8603775 9177360 9559750 10324530 11471700 13766040 14339625 15295600 16519248 17207550 19119500 20649060 22943400 25811325 27532080 28679250 34415100 38239000 41298120 43018875 45886800 51622650 57358500 68830200 76478000 82596240 86037750 103245300 114717000 129056625 137660400 172075500 206490600 229434000 258113250 344151000 412981200 516226500 688302000 1032453000 2064906000