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799134120 = 233353123869
BaseRepresentation
bin101111101000011…
…101000110101000
32001200201012221000
4233220131012220
53114034242440
6211144115000
725542346041
oct5750350650
92050635830
10799134120
113800aa324
121a3765a60
13c973ba35
14781c18c8
154a255730
hex2fa1d1a8

799134120 has 128 divisors (see below), whose sum is σ = 2749824000. Its totient is φ = 206219520.

The previous prime is 799134109. The next prime is 799134131. The reversal of 799134120 is 21431997.

799134120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (799134109) and next prime (799134131).

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 31 ways as a sum of consecutive naturals, for example, 21546 + ... + 45414.

It is an arithmetic number, because the mean of its divisors is an integer number (21483000).

Almost surely, 2799134120 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 799134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912000).

799134120 is an abundant number, since it is smaller than the sum of its proper divisors (1950689880).

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

799134120 is a wasteful number, since it uses less digits than its factorization.

799134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23920 (or 23910 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 799134120 is about 28268.9603629139. The cubic root of 799134120 is about 927.9827242375.

The spelling of 799134120 in words is "seven hundred ninety-nine million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 23869 33480 47738 71607 95476 119345 143214 190952 214821 238690 286428 358035 429642 477380 572856 644463 716070 739939 859284 954760 1074105 1288926 1432140 1479878 1718568 2148210 2219817 2577852 2864280 2959756 3222315 3699695 4296420 4439634 5155704 5919512 6444630 6659451 7399390 8592840 8879268 11099085 12889260 13318902 14798780 17758536 19978353 22198170 25778520 26637804 29597560 33297255 39956706 44396340 53275608 66594510 79913412 88792680 99891765 133189020 159826824 199783530 266378040 399567060 799134120