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80972190 = 233513172359
BaseRepresentation
bin1001101001110…
…00100110011110
312122100210222000
410310320212132
5131212102230
612011303130
72002152345
oct464704636
9178323860
1080972190
1141785672
122314aaa6
1313a10a50
14aa7ab5c
157196b60
hex4d3899e

80972190 has 256 divisors, whose sum is σ = 261273600. Its totient is φ = 17639424.

The previous prime is 80972189. The next prime is 80972197. The reversal of 80972190 is 9127908.

It is a happy number.

It is a super-2 number, since 2×809721902 = 13112991106792200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80972197) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1372381 + ... + 1372439.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 280972190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80972190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

80972190 is an abundant number, since it is smaller than the sum of its proper divisors (180301410).

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

80972190 is a wasteful number, since it uses less digits than its factorization.

80972190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 80972190 is about 8998.4548673647. The cubic root of 80972190 is about 432.6253481889.

The spelling of 80972190 in words is "eighty million, nine hundred seventy-two thousand, one hundred ninety".