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80134600 = 235272131737
BaseRepresentation
bin1001100011011…
…00000111001000
312120210021000011
410301230013020
5131003301400
611541321304
71662063400
oct461540710
9176707004
1080134600
1141263347
1222a06234
13137a9730
14a8dd800
15707d8ba
hex4c6c1c8

80134600 has 288 divisors, whose sum is σ = 253811880. Its totient is φ = 23224320.

The previous prime is 80134589. The next prime is 80134603. The reversal of 80134600 is 643108.

It can be written as a sum of positive squares in 12 ways, for example, as 13972644 + 66161956 = 3738^2 + 8134^2 .

It is not an unprimeable number, because it can be changed into a prime (80134603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2165782 + ... + 2165818.

Almost surely, 280134600 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 80134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126905940).

80134600 is an abundant number, since it is smaller than the sum of its proper divisors (173677280).

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

80134600 is a wasteful number, since it uses less digits than its factorization.

80134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 80134600 is about 8951.7931164655. The cubic root of 80134600 is about 431.1284583620.

Adding to 80134600 its reverse (643108), we get a palindrome (80777708).

The spelling of 80134600 in words is "eighty million, one hundred thirty-four thousand, six hundred".