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80711964 = 223689311
BaseRepresentation
bin1001100111110…
…01000100011100
312121212121000000
410303321010130
5131130240324
612001534300
72000016564
oct463710434
9177777000
1080711964
1141618103
1223044390
131394c478
14aa0dda4
1571449c9
hex4cf911c

80711964 has 84 divisors (see below), whose sum is σ = 214840080. Its totient is φ = 26516160.

The previous prime is 80711963. The next prime is 80711977. The reversal of 80711964 is 46911708.

It is a super-2 number, since 2×807119642 = 13028842265474592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80711963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 259369 + ... + 259679.

It is an arithmetic number, because the mean of its divisors is an integer number (2557620).

Almost surely, 280711964 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 80711964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107420040).

80711964 is an abundant number, since it is smaller than the sum of its proper divisors (134128116).

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

80711964 is a wasteful number, since it uses less digits than its factorization.

80711964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 80711964 is about 8983.9837488722. The cubic root of 80711964 is about 432.1613980265.

The spelling of 80711964 in words is "eighty million, seven hundred eleven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 243 267 311 324 356 486 534 622 729 801 933 972 1068 1244 1458 1602 1866 2403 2799 2916 3204 3732 4806 5598 7209 8397 9612 11196 14418 16794 21627 25191 27679 28836 33588 43254 50382 55358 64881 75573 83037 86508 100764 110716 129762 151146 166074 226719 249111 259524 302292 332148 453438 498222 747333 906876 996444 1494666 2241999 2989332 4483998 6725997 8967996 13451994 20177991 26903988 40355982 80711964