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830795112 = 23327612443
BaseRepresentation
bin110001100001001…
…110110101101000
32010220021202122100
4301201032311220
53200140420422
6214234453400
726405433120
oct6141166550
92126252570
10830795112
11396a64734
121b2294260
13103175a54
147c4a3c80
154ce0b7ac
hex3184ed68

830795112 has 144 divisors (see below), whose sum is σ = 2620257120. Its totient is φ = 232951680.

The previous prime is 830795101. The next prime is 830795123. The reversal of 830795112 is 211597038.

It is an interprime number because it is at equal distance from previous prime (830795101) and next prime (830795123).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1875163 + ... + 1875605.

It is an arithmetic number, because the mean of its divisors is an integer number (18196230).

Almost surely, 2830795112 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 830795112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310128560).

830795112 is an abundant number, since it is smaller than the sum of its proper divisors (1789462008).

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

830795112 is a wasteful number, since it uses less digits than its factorization.

830795112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 830795112 is about 28823.5166487367. The cubic root of 830795112 is about 940.0796341166.

The spelling of 830795112 in words is "eight hundred thirty million, seven hundred ninety-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 443 488 504 549 732 854 886 1098 1281 1329 1464 1708 1772 2196 2562 2658 3101 3416 3544 3721 3843 3987 4392 5124 5316 6202 7442 7686 7974 9303 10248 10632 11163 12404 14884 15372 15948 18606 22326 24808 26047 27023 27909 29768 30744 31896 33489 37212 44652 52094 54046 55818 66978 74424 78141 81069 89304 104188 108092 111636 133956 156282 162138 189161 208376 216184 223272 234423 243207 267912 312564 324276 378322 468846 486414 567483 625128 648552 756644 937692 972828 1134966 1513288 1648403 1702449 1875384 1945656 2269932 3296806 3404898 4539864 4945209 6593612 6809796 9890418 11538821 13187224 13619592 14835627 19780836 23077642 29671254 34616463 39561672 46155284 59342508 69232926 92310568 103849389 118685016 138465852 207698778 276931704 415397556 830795112