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83031040 = 210516217
BaseRepresentation
bin1001111001011…
…11010000000000
312210020102011201
410330233100000
5132223443130
612123350544
72025516001
oct474572000
9183212151
1083031040
11429614a4
1223982454
1314281bc1
14b0551a8
157451bca
hex4f2f400

83031040 has 44 divisors (see below), whose sum is σ = 199189476. Its totient is φ = 33210368.

The previous prime is 83031029. The next prime is 83031041. The reversal of 83031040 is 4013038.

It can be written as a sum of positive squares in 2 ways, for example, as 49112064 + 33918976 = 7008^2 + 5824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83030999 and 83031017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83031041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2989 + ... + 13228.

Almost surely, 283031040 is an apocalyptic number.

83031040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83031040 is an abundant number, since it is smaller than the sum of its proper divisors (116158436).

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

83031040 is a wasteful number, since it uses less digits than its factorization.

83031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16242 (or 16224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 83031040 is about 9112.1369612183. The cubic root of 83031040 is about 436.2614373457.

Adding to 83031040 its reverse (4013038), we get a palindrome (87044078).

The spelling of 83031040 in words is "eighty-three million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 16217 32434 64868 81085 129736 162170 259472 324340 518944 648680 1037888 1297360 2075776 2594720 4151552 5189440 8303104 10378880 16606208 20757760 41515520 83031040