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80827136 = 2813149163
BaseRepresentation
bin1001101000101…
…01001100000000
312122002102222122
410310111030000
5131142432021
612004223412
72001006425
oct464251400
9178072878
1080827136
1141696695
122309ab68
131398ca10
14aa3dd4c
157168bab
hex4d15300

80827136 has 72 divisors (see below), whose sum is σ = 175988400. Its totient is φ = 36827136.

The previous prime is 80827127. The next prime is 80827139. The reversal of 80827136 is 63172808.

It is a junction number, because it is equal to n+sod(n) for n = 80827096 and 80827105.

It is not an unprimeable number, because it can be changed into a prime (80827139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495791 + ... + 495953.

Almost surely, 280827136 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 80827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994200).

80827136 is an abundant number, since it is smaller than the sum of its proper divisors (95161264).

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

80827136 is a wasteful number, since it uses less digits than its factorization.

80827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 80827136 is about 8990.3913151764. The cubic root of 80827136 is about 432.3668580117.

The spelling of 80827136 in words is "eighty million, eight hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 149 163 208 256 298 326 416 596 652 832 1192 1304 1664 1937 2119 2384 2608 3328 3874 4238 4768 5216 7748 8476 9536 10432 15496 16952 19072 20864 24287 30992 33904 38144 41728 48574 61984 67808 97148 123968 135616 194296 247936 271232 315731 388592 495872 542464 631462 777184 1262924 1554368 2525848 3108736 5051696 6217472 10103392 20206784 40413568 80827136