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2870113320 = 2332519940063
BaseRepresentation
bin1010101100010010…
…0111010000101000
321102000121212022100
42223010213100220
521334222111240
61152444253400
7131060363214
oct25304472050
97360555270
102870113320
111243116688
12681241260
13369808509
141d3275944
1511be88e30
hexab127428

2870113320 has 96 divisors (see below), whose sum is σ = 9374976000. Its totient is φ = 761498496.

The previous prime is 2870113313. The next prime is 2870113369. The reversal of 2870113320 is 233110782.

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 23 ways as a sum of consecutive naturals, for example, 51609 + ... + 91671.

It is an arithmetic number, because the mean of its divisors is an integer number (97656000).

Almost surely, 22870113320 is an apocalyptic number.

2870113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687488000).

2870113320 is an abundant number, since it is smaller than the sum of its proper divisors (6504862680).

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

2870113320 is a wasteful number, since it uses less digits than its factorization.

2870113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40279 (or 40272 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2870113320 is about 53573.4385680068. The cubic root of 2870113320 is about 1421.1274059246.

The spelling of 2870113320 in words is "two billion, eight hundred seventy million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 597 796 995 1194 1592 1791 1990 2388 2985 3582 3980 4776 5970 7164 7960 8955 11940 14328 17910 23880 35820 40063 71640 80126 120189 160252 200315 240378 320504 360567 400630 480756 600945 721134 801260 961512 1201890 1442268 1602520 1802835 2403780 2884536 3605670 4807560 7211340 7972537 14422680 15945074 23917611 31890148 39862685 47835222 63780296 71752833 79725370 95670444 119588055 143505666 159450740 191340888 239176110 287011332 318901480 358764165 478352220 574022664 717528330 956704440 1435056660 2870113320