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2120487240 = 233517670727
BaseRepresentation
bin111111001100100…
…0001000101001000
312110210001220122110
41332121001011020
513320321042430
6550225222320
7103355562354
oct17631010510
95423056573
102120487240
11998a614a3
124b21919a0
1327a411ca1
141618a0464
15c62627b0
hex7e641148

2120487240 has 32 divisors (see below), whose sum is σ = 6361462080. Its totient is φ = 565463232.

The previous prime is 2120487217. The next prime is 2120487247. The reversal of 2120487240 is 427840212.

It is a super-2 number, since 2×21204872402 = 8992932270005635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2120487198 and 2120487207.

It is not an unprimeable number, because it can be changed into a prime (2120487247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8835244 + ... + 8835483.

It is an arithmetic number, because the mean of its divisors is an integer number (198795690).

Almost surely, 22120487240 is an apocalyptic number.

2120487240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120487240 is an abundant number, since it is smaller than the sum of its proper divisors (4240974840).

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

2120487240 is a wasteful number, since it uses less digits than its factorization.

2120487240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17670741 (or 17670737 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2120487240 is about 46048.7485171964. The cubic root of 2120487240 is about 1284.7300658859.

The spelling of 2120487240 in words is "two billion, one hundred twenty million, four hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17670727 35341454 53012181 70682908 88353635 106024362 141365816 176707270 212048724 265060905 353414540 424097448 530121810 706829080 1060243620 2120487240