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80132976 = 2434711273
BaseRepresentation
bin1001100011010…
…11101101110000
312120210011210000
410301223231300
5131003223401
611541310000
71662055560
oct461535560
9176704700
1080132976
1141262100
1222a05300
13137a8a81
14a8dcda0
15707d186
hex4c6bb70

80132976 has 300 divisors, whose sum is σ = 295338736. Its totient is φ = 20528640.

The previous prime is 80132971. The next prime is 80132977. The reversal of 80132976 is 67923108.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80132976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80132971) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1097676 + ... + 1097748.

Almost surely, 280132976 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 80132976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147669368).

80132976 is an abundant number, since it is smaller than the sum of its proper divisors (215205760).

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

80132976 is a wasteful number, since it uses less digits than its factorization.

80132976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 80132976 is about 8951.7024079222. The cubic root of 80132976 is about 431.1255459399.

The spelling of 80132976 in words is "eighty million, one hundred thirty-two thousand, nine hundred seventy-six".