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2120353340 = 225726357587
BaseRepresentation
bin111111001100010…
…0000011000111100
312110202211002222012
41332120200120330
513320302301330
6550222310352
7103354464110
oct17630403074
95422732865
102120353340
1199897a936
124b21283b8
1327a396061
14161867740
15c6237c95
hex7e62063c

2120353340 has 48 divisors (see below), whose sum is σ = 5108285952. Its totient is φ = 724201536.

The previous prime is 2120353337. The next prime is 2120353343. The reversal of 2120353340 is 433530212.

It is an interprime number because it is at equal distance from previous prime (2120353337) and next prime (2120353343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120353343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8027 + ... + 65613.

It is an arithmetic number, because the mean of its divisors is an integer number (106422624).

Almost surely, 22120353340 is an apocalyptic number.

2120353340 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 2120353340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554142976).

2120353340 is an abundant number, since it is smaller than the sum of its proper divisors (2987932612).

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

2120353340 is a wasteful number, since it uses less digits than its factorization.

2120353340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57866 (or 57864 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2120353340 is about 46047.2946002260. The cubic root of 2120353340 is about 1284.7030235198.

Adding to 2120353340 its reverse (433530212), we get a palindrome (2553883552).

The spelling of 2120353340 in words is "two billion, one hundred twenty million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1315 1841 2630 3682 5260 7364 9205 18410 36820 57587 115174 230348 287935 403109 575870 806218 1151740 1612436 2015545 4031090 8062180 15145381 30290762 60581524 75726905 106017667 151453810 212035334 302907620 424070668 530088335 1060176670 2120353340