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2052031160 = 2351913120611
BaseRepresentation
bin111101001001111…
…1000001010111000
312022000020222120002
41322103320022320
513200304444120
6535342052132
7101564656064
oct17223701270
95260228502
102052031160
11963355423
1249327a048
1326919412a
14156760aa4
15c023e375
hex7a4f82b8

2052031160 has 64 divisors (see below), whose sum is σ = 4897411200. Its totient is φ = 771638400.

The previous prime is 2052031159. The next prime is 2052031171. The reversal of 2052031160 is 611302502.

It is a super-2 number, since 2×20520311602 = 8421663763221891200, which contains 22 as substring.

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

2052031160 is a modest number, since divided by 31160 gives 20520 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89255 + ... + 109865.

It is an arithmetic number, because the mean of its divisors is an integer number (76522050).

Almost surely, 22052031160 is an apocalyptic number.

2052031160 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 2052031160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448705600).

2052031160 is an abundant number, since it is smaller than the sum of its proper divisors (2845380040).

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

2052031160 is a wasteful number, since it uses less digits than its factorization.

2052031160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20772 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2052031160 is about 45299.3505472209. The cubic root of 2052031160 is about 1270.7535074205.

Adding to 2052031160 its reverse (611302502), we get a palindrome (2663333662).

The spelling of 2052031160 in words is "two billion, fifty-two million, thirty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 131 152 190 262 380 524 655 760 1048 1310 2489 2620 4978 5240 9956 12445 19912 20611 24890 41222 49780 82444 99560 103055 164888 206110 391609 412220 783218 824440 1566436 1958045 2700041 3132872 3916090 5400082 7832180 10800164 13500205 15664360 21600328 27000410 51300779 54000820 102601558 108001640 205203116 256503895 410406232 513007790 1026015580 2052031160