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83078120 = 23515713229
BaseRepresentation
bin1001111001110…
…10101111101000
312210022210202102
410330322233220
5132231444440
612124352532
72026103156
oct474725750
9183283672
1083078120
1142993904
12239a5748
131429a468
14b0683d6
157460b15
hex4f3abe8

83078120 has 32 divisors (see below), whose sum is σ = 188130600. Its totient is φ = 33017088.

The previous prime is 83078119. The next prime is 83078123. The reversal of 83078120 is 2187038.

It can be written as a sum of positive squares in 4 ways, for example, as 79959364 + 3118756 = 8942^2 + 1766^2 .

It is not an unprimeable number, because it can be changed into a prime (83078123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335 + ... + 12894.

Almost surely, 283078120 is an apocalyptic number.

It is an amenable number.

83078120 is an abundant number, since it is smaller than the sum of its proper divisors (105052480).

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

83078120 is a wasteful number, since it uses less digits than its factorization.

83078120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13397 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 83078120 is about 9114.7199627855. The cubic root of 83078120 is about 436.3438776302.

The spelling of 83078120 in words is "eighty-three million, seventy-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 13229 26458 52916 66145 105832 132290 264580 529160 2076953 4153906 8307812 10384765 16615624 20769530 41539060 83078120