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83320092 = 223219181673
BaseRepresentation
bin1001111011101…
…01110100011100
312210210002200100
410331311310130
5132312220332
612133501100
72031131502
oct475656434
9183702610
1083320092
1143039689
1223aa1790
131435363b
14b0cc672
1574ac67c
hex4f75d1c

83320092 has 72 divisors (see below), whose sum is σ = 223255760. Its totient is φ = 26127360.

The previous prime is 83320067. The next prime is 83320093. The reversal of 83320092 is 29002338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83320093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123468 + ... + 124140.

Almost surely, 283320092 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 83320092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111627880).

83320092 is an abundant number, since it is smaller than the sum of its proper divisors (139935668).

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

83320092 is a wasteful number, since it uses less digits than its factorization.

83320092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83320092 is about 9127.9840052445. The cubic root of 83320092 is about 436.7670964024.

The spelling of 83320092 in words is "eighty-three million, three hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 181 228 342 362 543 673 684 724 1086 1346 1629 2019 2172 2692 3258 3439 4038 6057 6516 6878 8076 10317 12114 12787 13756 20634 24228 25574 30951 38361 41268 51148 61902 76722 115083 121813 123804 153444 230166 243626 365439 460332 487252 730878 1096317 1461756 2192634 2314447 4385268 4628894 6943341 9257788 13886682 20830023 27773364 41660046 83320092