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2064053320 = 235743251683
BaseRepresentation
bin111101100000110…
…1111010001001000
312022211212202212021
41323001233101020
513211344201240
6540451454224
7102102110110
oct17301572110
95284782767
102064053320
1196a11689a
124972b7374
1326b813234
141581b0040
15c131654a
hex7b06f448

2064053320 has 128 divisors (see below), whose sum is σ = 5460618240. Its totient is φ = 687456000.

The previous prime is 2064053309. The next prime is 2064053323. The reversal of 2064053320 is 233504602.

It is a happy number.

It is a super-2 number, since 2×20640533202 = 8520632215606044800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2064053323) 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, 3021699 + ... + 3022381.

It is an arithmetic number, because the mean of its divisors is an integer number (42661080).

Almost surely, 22064053320 is an apocalyptic number.

2064053320 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 2064053320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730309120).

2064053320 is an abundant number, since it is smaller than the sum of its proper divisors (3396564920).

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

2064053320 is a wasteful number, since it uses less digits than its factorization.

2064053320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2064053320 is about 45431.8535831414. The cubic root of 2064053320 is about 1273.2303158223.

Adding to 2064053320 its reverse (233504602), we get a palindrome (2297557922).

The spelling of 2064053320 in words is "two billion, sixty-four million, fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 251 280 301 344 430 502 602 683 860 1004 1204 1255 1366 1505 1720 1757 2008 2408 2510 2732 3010 3415 3514 4781 5020 5464 6020 6830 7028 8785 9562 10040 10793 12040 13660 14056 17570 19124 21586 23905 27320 29369 35140 38248 43172 47810 53965 58738 70280 75551 86344 95620 107930 117476 146845 151102 171433 191240 205583 215860 234952 293690 302204 342866 377755 411166 431720 587380 604408 685732 755510 822332 857165 1027915 1174760 1200031 1371464 1511020 1644664 1714330 2055830 2400062 3022040 3428660 4111660 4800124 6000155 6857320 7371619 8223320 9600248 12000310 14743238 24000620 29486476 36858095 48001240 51601333 58972952 73716190 103202666 147432380 206405332 258006665 294864760 412810664 516013330 1032026660 2064053320