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2053241300 = 22521117591861
BaseRepresentation
bin111101001100001…
…1111100111010100
312022002112110120002
41322120133213110
513201112210200
6535424030432
7101611156145
oct17230374724
95262473502
102053241300
11964001640
12493762418
132694c8ba6
14156997acc
15c03ccbd5
hex7a61f9d4

2053241300 has 144 divisors (see below), whose sum is σ = 5236539840. Its totient is φ = 690432000.

The previous prime is 2053241293. The next prime is 2053241341. The reversal of 2053241300 is 31423502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102370 + ... + 1104230.

It is an arithmetic number, because the mean of its divisors is an integer number (36364860).

Almost surely, 22053241300 is an apocalyptic number.

2053241300 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 2053241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618269920).

2053241300 is an abundant number, since it is smaller than the sum of its proper divisors (3183298540).

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

2053241300 is a wasteful number, since it uses less digits than its factorization.

2053241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2053241300 is about 45312.7057236709. The cubic root of 2053241300 is about 1271.0032579256.

Adding to 2053241300 its reverse (31423502), we get a palindrome (2084664802).

The spelling of 2053241300 in words is "two billion, fifty-three million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 59 68 85 100 110 118 170 187 220 236 275 295 340 374 425 550 590 649 748 850 935 1003 1100 1180 1298 1475 1700 1861 1870 2006 2596 2950 3245 3722 3740 4012 4675 5015 5900 6490 7444 9305 9350 10030 11033 12980 16225 18610 18700 20060 20471 22066 25075 31637 32450 37220 40942 44132 46525 50150 55165 63274 64900 81884 93050 100300 102355 109799 110330 126548 158185 186100 204710 219598 220660 275825 316370 348007 409420 439196 511775 548995 551650 632740 696014 790925 1023550 1097990 1103300 1207789 1392028 1581850 1740035 1866583 2047100 2195980 2415578 2744975 3163700 3480070 3733166 4831156 5489950 6038945 6960140 7466332 8700175 9332915 10979900 12077890 17400350 18665830 20532413 24155780 30194725 34800700 37331660 41064826 46664575 60389450 82129652 93329150 102662065 120778900 186658300 205324130 410648260 513310325 1026620650 2053241300