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1033320420 = 2232511521879
BaseRepresentation
bin111101100101110…
…011011111100100
32200000101010010200
4331211303133210
54104012223140
6250311350500
734415035656
oct7545633744
92600333120
101033320420
11490311a20
1224a082430
13136105602
149b3426d6
1560ab4030
hex3d9737e4

1033320420 has 72 divisors (see below), whose sum is σ = 3419357760. Its totient is φ = 250501440.

The previous prime is 1033320413. The next prime is 1033320433. The reversal of 1033320420 is 240233301.

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 = 1033320393 and 1033320402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258960 + ... + 262919.

It is an arithmetic number, because the mean of its divisors is an integer number (47491080).

Almost surely, 21033320420 is an apocalyptic number.

1033320420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033320420 is an abundant number, since it is smaller than the sum of its proper divisors (2386037340).

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

1033320420 is a wasteful number, since it uses less digits than its factorization.

1033320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521905 (or 521900 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1033320420 is about 32145.3016784724. The cubic root of 1033320420 is about 1010.9856795748.

Adding to 1033320420 its reverse (240233301), we get a palindrome (1273553721).

The spelling of 1033320420 in words is "one billion, thirty-three million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 521879 1043758 1565637 2087516 2609395 3131274 4696911 5218790 5740669 6262548 7828185 9393822 10437580 11481338 15656370 17222007 18787644 22962676 23484555 28703345 31312740 34444014 46969110 51666021 57406690 68888028 86110035 93938220 103332042 114813380 172220070 206664084 258330105 344440140 516660210 1033320420