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2120324240 = 24531783609
BaseRepresentation
bin111111001100001…
…1001010010010000
312110202202122001102
41332120121102100
513320300333430
6550221523532
7103354313216
oct17630312220
95422678042
102120324240
1199895aa91
124b21135a8
1327a385a38
1416185acb6
15c622e345
hex7e619490

2120324240 has 40 divisors (see below), whose sum is σ = 4945364280. Its totient is φ = 845444096.

The previous prime is 2120324237. The next prime is 2120324243. The reversal of 2120324240 is 424230212.

It is an interprime number because it is at equal distance from previous prime (2120324237) and next prime (2120324243).

It can be written as a sum of positive squares in 4 ways, for example, as 8737936 + 2111586304 = 2956^2 + 45952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2120324243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16445 + ... + 67164.

It is an arithmetic number, because the mean of its divisors is an integer number (123634107).

Almost surely, 22120324240 is an apocalyptic number.

2120324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120324240 is an abundant number, since it is smaller than the sum of its proper divisors (2825040040).

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

2120324240 is a wasteful number, since it uses less digits than its factorization.

2120324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83939 (or 83933 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2120324240 is about 46046.9786196662. The cubic root of 2120324240 is about 1284.6971463501.

Adding to 2120324240 its reverse (424230212), we get a palindrome (2544554452).

The spelling of 2120324240 in words is "two billion, one hundred twenty million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 317 634 1268 1585 2536 3170 5072 6340 12680 25360 83609 167218 334436 418045 668872 836090 1337744 1672180 3344360 6688720 26504053 53008106 106016212 132520265 212032424 265040530 424064848 530081060 1060162120 2120324240