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2120264010 = 232531774317
BaseRepresentation
bin111111001100000…
…1010100101001010
312110202122120102200
41332120022211022
513320241422020
6550220341030
7103353642504
oct17630124512
95422576380
102120264010
11998919807
124b20a4776
1327a3644b7
14161842d74
15c621b590
hex7e60a94a

2120264010 has 48 divisors (see below), whose sum is σ = 5530151016. Its totient is φ = 563612544.

The previous prime is 2120264009. The next prime is 2120264051. The reversal of 2120264010 is 104620212.

2120264010 is a `hidden beast` number, since 2 + 1 + 20 + 2 + 640 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1207076049 + 913187961 = 34743^2 + 30219^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8629 + ... + 65688.

Almost surely, 22120264010 is an apocalyptic number.

2120264010 is an abundant number, since it is smaller than the sum of its proper divisors (3409887006).

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

2120264010 is a wasteful number, since it uses less digits than its factorization.

2120264010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74647 (or 74644 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120264010 is about 46046.3246090282. The cubic root of 2120264010 is about 1284.6849818518.

Adding to 2120264010 its reverse (104620212), we get a palindrome (2224884222).

The spelling of 2120264010 in words is "two billion, one hundred twenty million, two hundred sixty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 317 634 951 1585 1902 2853 3170 4755 5706 9510 14265 28530 74317 148634 222951 371585 445902 668853 743170 1114755 1337706 2229510 3344265 6688530 23558489 47116978 70675467 117792445 141350934 212026401 235584890 353377335 424052802 706754670 1060132005 2120264010