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2053610160 = 243576411907
BaseRepresentation
bin111101001100111…
…1001101010110000
312022010020012112120
41322121321222300
513201211011120
6535435554240
7101614253430
oct17231715260
95263205476
102053610160
11964233788
124938bb980
132695c7a54
14156a522c0
15c0452140
hex7a679ab0

2053610160 has 160 divisors (see below), whose sum is σ = 7290819072. Its totient is φ = 468418560.

The previous prime is 2053610123. The next prime is 2053610161. The reversal of 2053610160 is 610163502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2053610160.

It is not an unprimeable number, because it can be changed into a prime (2053610161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075927 + ... + 1077833.

Almost surely, 22053610160 is an apocalyptic number.

2053610160 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 2053610160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645409536).

2053610160 is an abundant number, since it is smaller than the sum of its proper divisors (5237208912).

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

2053610160 is a wasteful number, since it uses less digits than its factorization.

2053610160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2053610160 is about 45316.7757017200. The cubic root of 2053610160 is about 1271.0793642897.

Adding to 2053610160 its reverse (610163502), we get a palindrome (2663773662).

The spelling of 2053610160 in words is "two billion, fifty-three million, six hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 641 840 1282 1680 1907 1923 2564 3205 3814 3846 4487 5128 5721 6410 7628 7692 8974 9535 9615 10256 11442 12820 13349 13461 15256 15384 17948 19070 19230 22435 22884 25640 26698 26922 28605 30512 30768 35896 38140 38460 40047 44870 45768 51280 53396 53844 57210 66745 67305 71792 76280 76920 80094 89740 91536 106792 107688 114420 133490 134610 152560 153840 160188 179480 200235 213584 215376 228840 266980 269220 320376 358960 400470 457680 533960 538440 640752 800940 1067920 1076880 1222387 1601880 2444774 3203760 3667161 4889548 6111935 7334322 8556709 9779096 12223870 14668644 17113418 18335805 19558192 24447740 25670127 29337288 34226836 36671610 42783545 48895480 51340254 58674576 68453672 73343220 85567090 97790960 102680508 128350635 136907344 146686440 171134180 205361016 256701270 293372880 342268360 410722032 513402540 684536720 1026805080 2053610160