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2064702120 = 2335133735771
BaseRepresentation
bin111101100010000…
…1101101010101000
312022220002201211220
41323010031222220
513212030431440
6540513422040
7102110451465
oct17304155250
95286081756
102064702120
1196a51a298
1249756a920
1326b9ac640
141582dc66c
15c13e38d0
hex7b10daa8

2064702120 has 128 divisors (see below), whose sum is σ = 6851053440. Its totient is φ = 494484480.

The previous prime is 2064702049. The next prime is 2064702121. The reversal of 2064702120 is 212074602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2064702121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39835 + ... + 75605.

It is an arithmetic number, because the mean of its divisors is an integer number (53523855).

Almost surely, 22064702120 is an apocalyptic number.

2064702120 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 2064702120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425526720).

2064702120 is an abundant number, since it is smaller than the sum of its proper divisors (4786351320).

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

2064702120 is a wasteful number, since it uses less digits than its factorization.

2064702120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35835 (or 35831 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2064702120 is about 45438.9933867378. The cubic root of 2064702120 is about 1273.3637079335.

Adding to 2064702120 its reverse (212074602), we get a palindrome (2276776722).

The spelling of 2064702120 in words is "two billion, sixty-four million, seven hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 37 39 40 52 60 65 74 78 104 111 120 130 148 156 185 195 222 260 296 312 370 390 444 481 520 555 740 780 888 962 1110 1443 1480 1560 1924 2220 2405 2886 3848 4440 4810 5772 7215 9620 11544 14430 19240 28860 35771 57720 71542 107313 143084 178855 214626 286168 357710 429252 465023 536565 715420 858504 930046 1073130 1323527 1395069 1430840 1860092 2146260 2325115 2647054 2790138 3720184 3970581 4292520 4650230 5294108 5580276 6617635 6975345 7941162 9300460 10588216 11160552 13235270 13950690 15882324 17205851 18600920 19852905 26470540 27901380 31764648 34411702 39705810 51617553 52941080 55802760 68823404 79411620 86029255 103235106 137646808 158823240 172058510 206470212 258087765 344117020 412940424 516175530 688234040 1032351060 2064702120