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80865216 = 263419821
BaseRepresentation
bin1001101000111…
…10011111000000
312122011101020000
410310132133000
5131200141331
612005120000
72001225435
oct464363700
9178141200
1080865216
1141712263
12230b9000
13139a4153
14aa4db8c
1571750e6
hex4d1e7c0

80865216 has 140 divisors (see below), whose sum is σ = 252633480. Its totient is φ = 25505280.

The previous prime is 80865203. The next prime is 80865221. The reversal of 80865216 is 61256808.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 98086 + ... + 98906.

Almost surely, 280865216 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 80865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126316740).

80865216 is an abundant number, since it is smaller than the sum of its proper divisors (171768264).

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

80865216 is a wasteful number, since it uses less digits than its factorization.

80865216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80865216 is about 8992.5088823976. The cubic root of 80865216 is about 432.4347475259.

The spelling of 80865216 in words is "eighty million, eight hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 821 864 912 1026 1216 1296 1368 1539 1642 1728 1824 2052 2463 2592 2736 3078 3284 3648 4104 4926 5184 5472 6156 6568 7389 8208 9852 10944 12312 13136 14778 15599 16416 19704 22167 24624 26272 29556 31198 32832 39408 44334 46797 49248 52544 59112 62396 66501 78816 88668 93594 98496 118224 124792 133002 140391 157632 177336 187188 236448 249584 266004 280782 354672 374376 421173 472896 499168 532008 561564 709344 748752 842346 998336 1064016 1123128 1263519 1418688 1497504 1684692 2128032 2246256 2527038 2995008 3369384 4256064 4492512 5054076 6738768 8985024 10108152 13477536 20216304 26955072 40432608 80865216