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80967040 = 2757113153
BaseRepresentation
bin1001101001101…
…11010110000000
312122100112220021
410310313112000
5131211421130
612011223224
72002131340
oct464672600
9178315807
1080967040
1141781810
1223147b14
1313a0b5bb
14aa78d20
15719537a
hex4d37580

80967040 has 256 divisors, whose sum is σ = 253808640. Its totient is φ = 23961600.

The previous prime is 80967017. The next prime is 80967049. The reversal of 80967040 is 4076908.

It is a junction number, because it is equal to n+sod(n) for n = 80966987 and 80967005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80967049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527654 + ... + 1527706.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 280967040 is an apocalyptic number.

80967040 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 80967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

80967040 is an abundant number, since it is smaller than the sum of its proper divisors (172841600).

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

80967040 is a wasteful number, since it uses less digits than its factorization.

80967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 80967040 is about 8998.1687025750. The cubic root of 80967040 is about 432.6161760366.

The spelling of 80967040 in words is "eighty million, nine hundred sixty-seven thousand, forty".