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80766936 = 23331991879
BaseRepresentation
bin1001101000001…
…10011111011000
312121222101102000
410310012133120
5131134020221
612003041000
72000336055
oct464063730
9177871360
1080766936
1141655438
1223070160
131396b4b3
14aa2602c
157155e26
hex4d067d8

80766936 has 64 divisors (see below), whose sum is σ = 225600000. Its totient is φ = 26772768.

The previous prime is 80766913. The next prime is 80766937. The reversal of 80766936 is 63966708.

It is a junction number, because it is equal to n+sod(n) for n = 80766891 and 80766900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80766937) 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 15 ways as a sum of consecutive naturals, for example, 42045 + ... + 43923.

It is an arithmetic number, because the mean of its divisors is an integer number (3525000).

Almost surely, 280766936 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 80766936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112800000).

80766936 is an abundant number, since it is smaller than the sum of its proper divisors (144833064).

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

80766936 is a wasteful number, since it uses less digits than its factorization.

80766936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 80766936 is about 8987.0426726482. The cubic root of 80766936 is about 432.2594891633.

The spelling of 80766936 in words is "eighty million, seven hundred sixty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 1879 2388 3582 3758 4776 5373 5637 7164 7516 10746 11274 14328 15032 16911 21492 22548 33822 42984 45096 50733 67644 101466 135288 202932 373921 405864 747842 1121763 1495684 2243526 2991368 3365289 4487052 6730578 8974104 10095867 13461156 20191734 26922312 40383468 80766936