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83340132 = 22323378161
BaseRepresentation
bin1001111011110…
…10101101100100
312210211010011120
410331322231210
5132313341012
612134133540
72031244101
oct475725544
9183733146
1083340132
1143052747
1223ab12b0
131435c7b5
14b0d5aa8
1574b358c
hex4f7ab64

83340132 has 48 divisors (see below), whose sum is σ = 208424832. Its totient is φ = 25850880.

The previous prime is 83340119. The next prime is 83340133. The reversal of 83340132 is 23104338.

It is not an unprimeable number, because it can be changed into a prime (83340133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6132 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (4342184).

Almost surely, 283340132 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 83340132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104212416).

83340132 is an abundant number, since it is smaller than the sum of its proper divisors (125084700).

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

83340132 is a wasteful number, since it uses less digits than its factorization.

83340132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8228 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 83340132 is about 9129.0816624675. The cubic root of 83340132 is about 436.8021104099.

The spelling of 83340132 in words is "eighty-three million, three hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 8161 10212 16322 24483 32644 48966 97932 187703 301957 375406 563109 603914 750812 905871 1126218 1207828 1811742 2252436 3623484 6945011 13890022 20835033 27780044 41670066 83340132