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83030780 = 22573111907
BaseRepresentation
bin1001111001011…
…11001011111100
312210020101211002
410330233023330
5132223441110
612123345432
72025515150
oct474571374
9183211732
1083030780
1142961288
1223982278
1314281a51
14b055060
157451aa5
hex4f2f2fc

83030780 has 48 divisors (see below), whose sum is σ = 200019456. Its totient is φ = 28361280.

The previous prime is 83030777. The next prime is 83030791. The reversal of 83030780 is 8703038.

It is a super-2 number, since 2×830307802 = 13788220854816800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 42587 + ... + 44493.

It is an arithmetic number, because the mean of its divisors is an integer number (4167072).

Almost surely, 283030780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83030780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100009728).

83030780 is an abundant number, since it is smaller than the sum of its proper divisors (116988676).

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

83030780 is a wasteful number, since it uses less digits than its factorization.

83030780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 83030780 is about 9112.1226945207. The cubic root of 83030780 is about 436.2609819815.

The spelling of 83030780 in words is "eighty-three million, thirty thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 311 622 1244 1555 1907 2177 3110 3814 4354 6220 7628 8708 9535 10885 13349 19070 21770 26698 38140 43540 53396 66745 133490 266980 593077 1186154 2372308 2965385 4151539 5930770 8303078 11861540 16606156 20757695 41515390 83030780