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80693760 = 293571979
BaseRepresentation
bin1001100111101…
…00101000000000
312121211200000210
410303310220000
5131124200020
612001314120
71666612530
oct463645000
9177750023
1080693760
1141605464
1223035940
13139440b4
14aa074c0
15713e3e0
hex4cf4a00

80693760 has 320 divisors, whose sum is σ = 314265600. Its totient is φ = 17252352.

The previous prime is 80693731. The next prime is 80693797. The reversal of 80693760 is 6739608.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×806937602 = 13022965805875200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021401 + ... + 1021479.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 280693760 is an apocalyptic number.

80693760 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 80693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

80693760 is an abundant number, since it is smaller than the sum of its proper divisors (233571840).

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

80693760 is a wasteful number, since it uses less digits than its factorization.

80693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 80693760 is about 8982.9705554455. The cubic root of 80693760 is about 432.1289052905.

The spelling of 80693760 in words is "eighty million, six hundred ninety-three thousand, seven hundred sixty".