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80332960 = 255502081
BaseRepresentation
bin1001100100111…
…00100010100000
312121011100002211
410302130202200
5131031123320
611545451504
71663550611
oct462344240
9177140084
1080332960
1141389384
1222aa0b94
1313848ac6
14a951c08
1570bc55a
hex4c9c8a0

80332960 has 24 divisors (see below), whose sum is σ = 189786996. Its totient is φ = 32133120.

The previous prime is 80332937. The next prime is 80332963. The reversal of 80332960 is 6923308.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80066704 + 266256 = 8948^2 + 516^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (80332963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250881 + ... + 251200.

Almost surely, 280332960 is an apocalyptic number.

80332960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80332960 is an abundant number, since it is smaller than the sum of its proper divisors (109454036).

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

80332960 is a wasteful number, since it uses less digits than its factorization.

80332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502096 (or 502088 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 80332960 is about 8962.8656131842. The cubic root of 80332960 is about 431.4838944052.

The spelling of 80332960 in words is "eighty million, three hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 502081 1004162 2008324 2510405 4016648 5020810 8033296 10041620 16066592 20083240 40166480 80332960