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796045120 = 26513613137
BaseRepresentation
bin101111011100101…
…010111101000000
32001110220021121121
4233130222331000
53112241420440
6210554002024
725504162153
oct5734527500
92043807547
10796045120
1137938a532
121a2716314
13c8bc9a20
1477a19c9a
1549d4534a
hex2f72af40

796045120 has 112 divisors (see below), whose sum is σ = 2075523408. Its totient is φ = 289013760.

The previous prime is 796045097. The next prime is 796045123. The reversal of 796045120 is 21540697.

It can be written as a sum of positive squares in 8 ways, for example, as 29419776 + 766625344 = 5424^2 + 27688^2 .

It is a super-3 number, since 3×7960451203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796045123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252192 + ... + 255328.

It is an arithmetic number, because the mean of its divisors is an integer number (18531459).

Almost surely, 2796045120 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 796045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037761704).

796045120 is an abundant number, since it is smaller than the sum of its proper divisors (1279478288).

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

796045120 is a wasteful number, since it uses less digits than its factorization.

796045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 796045120 is about 28214.2715660001. The cubic root of 796045120 is about 926.7854950585.

The spelling of 796045120 in words is "seven hundred ninety-six million, forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 130 160 208 244 260 305 320 416 488 520 610 793 832 976 1040 1220 1586 1952 2080 2440 3137 3172 3904 3965 4160 4880 6274 6344 7930 9760 12548 12688 15685 15860 19520 25096 25376 31370 31720 40781 50192 50752 62740 63440 81562 100384 125480 126880 163124 191357 200768 203905 250960 253760 326248 382714 407810 501920 652496 765428 815620 956785 1003840 1304992 1530856 1631240 1913570 2487641 2609984 3061712 3262480 3827140 4975282 6123424 6524960 7654280 9950564 12246848 12438205 13049920 15308560 19901128 24876410 30617120 39802256 49752820 61234240 79604512 99505640 159209024 199011280 398022560 796045120