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83090280 = 233572131087
BaseRepresentation
bin1001111001111…
…01101101101000
312210100102102210
410330331231220
5132232342110
612124525120
72026153500
oct474755550
9183312383
1083090280
11429a1a59
12239b07a0
13142a2b60
14b06ca00
157464520
hex4f3db68

83090280 has 192 divisors, whose sum is σ = 312560640. Its totient is φ = 17515008.

The previous prime is 83090263. The next prime is 83090281. The reversal of 83090280 is 8209038.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83090281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75897 + ... + 76983.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 283090280 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 83090280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

83090280 is an abundant number, since it is smaller than the sum of its proper divisors (229470360).

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

83090280 is a wasteful number, since it uses less digits than its factorization.

83090280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 83090280 is about 9115.3869912363. The cubic root of 83090280 is about 436.3651655565.

The spelling of 83090280 in words is "eighty-three million, ninety thousand, two hundred eighty".