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83403054 = 23371712979
BaseRepresentation
bin1001111100010…
…10000100101110
312210221022111000
410332022010232
5132322344204
612135341130
72031625410
oct476120456
9183838430
1083403054
1143095a49
1223b217a6
1314382327
14b1109b0
1574c7039
hex4f8a12e

83403054 has 64 divisors (see below), whose sum is σ = 224294400. Its totient is φ = 22425984.

The previous prime is 83403053. The next prime is 83403077. The reversal of 83403054 is 45030438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83403053) 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 31 ways as a sum of consecutive naturals, for example, 64 + ... + 12915.

It is an arithmetic number, because the mean of its divisors is an integer number (3504600).

Almost surely, 283403054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83403054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112147200).

83403054 is an abundant number, since it is smaller than the sum of its proper divisors (140891346).

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

83403054 is a wasteful number, since it uses less digits than its factorization.

83403054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 83403054 is about 9132.5272515334. The cubic root of 83403054 is about 436.9120116371.

The spelling of 83403054 in words is "eighty-three million, four hundred three thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 12979 25958 38937 77874 90853 116811 181706 220643 233622 272559 350433 441286 545118 661929 700866 817677 1323858 1544501 1635354 1985787 2453031 3089002 3971574 4633503 4906062 5957361 9267006 11914722 13900509 27801018 41701527 83403054