Search a number
-
+
80065128 = 233111341569
BaseRepresentation
bin1001100010110…
…11001001101000
312120122201201010
410301123021220
5130444041003
611540023520
71661354013
oct461331150
9176581633
1080065128
1141216130
1222991ba0
1313783c20
14a8c237a
157068003
hex4c5b268

80065128 has 128 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 21811200.

The previous prime is 80065109. The next prime is 80065177. The reversal of 80065128 is 82156008.

It is a junction number, because it is equal to n+sod(n) for n = 80065095 and 80065104.

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, 140428 + ... + 140996.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 280065128 is an apocalyptic number.

80065128 is a gapful number since it is divisible by the number (88) 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 80065128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

80065128 is an abundant number, since it is smaller than the sum of its proper divisors (161250072).

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

80065128 is a wasteful number, since it uses less digits than its factorization.

80065128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 80065128 is about 8947.9119351947. The cubic root of 80065128 is about 431.0038346423.

The spelling of 80065128 in words is "eighty million, sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 66 78 82 88 104 123 132 143 156 164 246 264 286 312 328 429 451 492 533 569 572 858 902 984 1066 1138 1144 1353 1599 1707 1716 1804 2132 2276 2706 3198 3414 3432 3608 4264 4552 5412 5863 6259 6396 6828 7397 10824 11726 12518 12792 13656 14794 17589 18777 22191 23329 23452 25036 29588 35178 37554 44382 46658 46904 50072 59176 69987 70356 75108 81367 88764 93316 139974 140712 150216 162734 177528 186632 244101 256619 279948 303277 325468 488202 513238 559896 606554 650936 769857 909831 976404 1026476 1213108 1539714 1819662 1952808 2052952 2426216 3079428 3336047 3639324 6158856 6672094 7278648 10008141 13344188 20016282 26688376 40032564 80065128