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80834112 = 263431503
BaseRepresentation
bin1001101000101…
…10111001000000
312122002210120000
410310112321000
5131143142422
612004320000
72001035652
oct464267100
9178083500
1080834112
11416a0957
12230a3000
1313992c48
14aa426d2
15716acac
hex4d16e40

80834112 has 140 divisors (see below), whose sum is σ = 247838976. Its totient is φ = 26023680.

The previous prime is 80834041. The next prime is 80834123. The reversal of 80834112 is 21143808.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160453 + ... + 160955.

Almost surely, 280834112 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 80834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123919488).

80834112 is an abundant number, since it is smaller than the sum of its proper divisors (167004864).

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

80834112 is a wasteful number, since it uses less digits than its factorization.

80834112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 80834112 is about 8990.7792765700. The cubic root of 80834112 is about 432.3792965094.

The spelling of 80834112 in words is "eighty million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 503 558 576 648 744 837 864 992 1006 1116 1296 1488 1509 1674 1728 1984 2012 2232 2511 2592 2976 3018 3348 4024 4464 4527 5022 5184 5952 6036 6696 8048 8928 9054 10044 12072 13392 13581 15593 16096 17856 18108 20088 24144 26784 27162 31186 32192 36216 40176 40743 46779 48288 53568 54324 62372 72432 80352 81486 93558 96576 108648 124744 140337 144864 160704 162972 187116 217296 249488 280674 289728 325944 374232 421011 434592 498976 561348 651888 748464 842022 869184 997952 1122696 1263033 1303776 1496928 1684044 2245392 2526066 2607552 2993856 3368088 4490784 5052132 6736176 8981568 10104264 13472352 20208528 26944704 40417056 80834112