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80974080 = 283451171
BaseRepresentation
bin1001101001110…
…01000100000000
312122100220120000
410310321010000
5131212132310
612011320000
72002161015
oct464710400
9178326500
1080974080
1141787030
1223150000
1313a11875
14aa7b70c
1571974c0
hex4d39100

80974080 has 360 divisors, whose sum is σ = 320531904. Its totient is φ = 19353600.

The previous prime is 80974063. The next prime is 80974087. The reversal of 80974080 is 8047908.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80974087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140445 + ... + 1140515.

Almost surely, 280974080 is an apocalyptic number.

80974080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160265952).

80974080 is an abundant number, since it is smaller than the sum of its proper divisors (239557824).

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

80974080 is a wasteful number, since it uses less digits than its factorization.

80974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80974080 is about 8998.5598847816. The cubic root of 80974080 is about 432.6287141822.

The spelling of 80974080 in words is "eighty million, nine hundred seventy-four thousand, eighty".