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2120034420 = 2232571682567
BaseRepresentation
bin111111001011101…
…0010100001110100
312110202012220111100
41332113102201310
513320212100140
6550211410100
7103351665240
oct17627224164
95422186440
102120034420
11998782269
124b1bb3930
1327a2b3b4a
141617c3420
15c61c3530
hex7e5d2874

2120034420 has 72 divisors (see below), whose sum is σ = 7349457024. Its totient is φ = 484579008.

The previous prime is 2120034403. The next prime is 2120034481. The reversal of 2120034420 is 244300212.

2120034420 is a `hidden beast` number, since 21 + 200 + 3 + 442 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2120034393 and 2120034402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840024 + ... + 842543.

It is an arithmetic number, because the mean of its divisors is an integer number (102075792).

Almost surely, 22120034420 is an apocalyptic number.

2120034420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120034420 is an abundant number, since it is smaller than the sum of its proper divisors (5229422604).

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

2120034420 is a wasteful number, since it uses less digits than its factorization.

2120034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682589 (or 1682584 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2120034420 is about 46043.8315086831. The cubic root of 2120034420 is about 1284.6386100367.

Adding to 2120034420 its reverse (244300212), we get a palindrome (2364334632).

The spelling of 2120034420 in words is "two billion, one hundred twenty million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1682567 3365134 5047701 6730268 8412835 10095402 11777969 15143103 16825670 20190804 23555938 25238505 30286206 33651340 35333907 47111876 50477010 58889845 60572412 70667814 75715515 100954020 106001721 117779690 141335628 151431030 176669535 212003442 235559380 302862060 353339070 424006884 530008605 706678140 1060017210 2120034420