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2120340000 = 2535435339
BaseRepresentation
bin111111001100001…
…1101001000100000
312110202210102200010
41332120131020200
513320301340000
6550222124520
7103354410162
oct17630351040
95422712603
102120340000
11998970909
124b2120740
1327a38cc6c
14161862932
15c6233d50
hex7e61d220

2120340000 has 120 divisors (see below), whose sum is σ = 6955336080. Its totient is φ = 565408000.

The previous prime is 2120339987. The next prime is 2120340029. The reversal of 2120340000 is 430212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42331 + ... + 77669.

It is an arithmetic number, because the mean of its divisors is an integer number (57961134).

Almost surely, 22120340000 is an apocalyptic number.

2120340000 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 2120340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477668040).

2120340000 is an abundant number, since it is smaller than the sum of its proper divisors (4834996080).

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

2120340000 is an equidigital number, since it uses as much as digits as its factorization.

2120340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35372 (or 35349 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2120340000 is about 46047.1497489258. The cubic root of 2120340000 is about 1284.7003293188.

Adding to 2120340000 its reverse (430212), we get a palindrome (2120770212).

The spelling of 2120340000 in words is "two billion, one hundred twenty million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 35339 60000 70678 106017 141356 176695 212034 282712 353390 424068 530085 565424 706780 848136 883475 1060170 1130848 1413560 1696272 1766950 2120340 2650425 2827120 3392544 3533900 4240680 4417375 5300850 5654240 7067800 8481360 8834750 10601700 13252125 14135600 16962720 17669500 21203400 22086875 26504250 28271200 35339000 42406800 44173750 53008500 66260625 70678000 84813600 88347500 106017000 132521250 141356000 176695000 212034000 265042500 353390000 424068000 530085000 706780000 1060170000 2120340000