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2352052020 = 2235475315737
BaseRepresentation
bin1000110000110001…
…0111011100110100
320001220210121210210
42030030113130310
514304111131040
61025220345420
7112200053343
oct21414273464
96056717723
102352052020
11aa774354a
12557845270
132b639b576
1418453bb5a
15db754480
hex8c317734

2352052020 has 96 divisors (see below), whose sum is σ = 6853206528. Its totient is φ = 602248192.

The previous prime is 2352052019. The next prime is 2352052033. The reversal of 2352052020 is 202502532.

It is a congruent number.

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, 141592 + ... + 157328.

It is an arithmetic number, because the mean of its divisors is an integer number (71387568).

Almost surely, 22352052020 is an apocalyptic number.

2352052020 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 2352052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426603264).

2352052020 is an abundant number, since it is smaller than the sum of its proper divisors (4501154508).

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

2352052020 is a wasteful number, since it uses less digits than its factorization.

2352052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15849 (or 15847 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2352052020 is about 48497.9589261239. The cubic root of 2352052020 is about 1329.8897566300.

Adding to 2352052020 its reverse (202502532), we get a palindrome (2554554552).

The spelling of 2352052020 in words is "two billion, three hundred fifty-two million, fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 53 60 94 106 141 159 188 212 235 265 282 318 470 530 564 636 705 795 940 1060 1410 1590 2491 2820 3180 4982 7473 9964 12455 14946 15737 24910 29892 31474 37365 47211 49820 62948 74730 78685 94422 149460 157370 188844 236055 314740 472110 739639 834061 944220 1479278 1668122 2218917 2502183 2958556 3336244 3698195 4170305 4437834 5004366 7396390 8340610 8875668 10008732 11094585 12510915 14792780 16681220 22189170 25021830 39200867 44378340 50043660 78401734 117602601 156803468 196004335 235205202 392008670 470410404 588013005 784017340 1176026010 2352052020