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2054356160 = 265171013739
BaseRepresentation
bin111101001110010…
…1111110011000000
312022011122002212012
41322130233303000
513201403344120
6535503552052
7101623511363
oct17234576300
95264562765
102054356160
119646a320a
12493bbb628
132697c947c
14156ba80da
15c054d1c5
hex7a72fcc0

2054356160 has 112 divisors (see below), whose sum is σ = 5232379680. Its totient is φ = 765542400.

The previous prime is 2054356151. The next prime is 2054356189. The reversal of 2054356160 is 616534502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 547571 + ... + 551309.

Almost surely, 22054356160 is an apocalyptic number.

2054356160 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 2054356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616189840).

2054356160 is an abundant number, since it is smaller than the sum of its proper divisors (3178023520).

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

2054356160 is a wasteful number, since it uses less digits than its factorization.

2054356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2054356160 is about 45325.0059018198. The cubic root of 2054356160 is about 1271.2332575698.

The spelling of 2054356160 in words is "two billion, fifty-four million, three hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 101 136 160 170 202 272 320 340 404 505 544 680 808 1010 1088 1360 1616 1717 2020 2720 3232 3434 3739 4040 5440 6464 6868 7478 8080 8585 13736 14956 16160 17170 18695 27472 29912 32320 34340 37390 54944 59824 63563 68680 74780 109888 119648 127126 137360 149560 239296 254252 274720 299120 317815 377639 508504 549440 598240 635630 755278 1017008 1196480 1271260 1510556 1888195 2034016 2542520 3021112 3776390 4068032 5085040 6042224 6419863 7552780 10170080 12084448 12839726 15105560 20340160 24168896 25679452 30211120 32099315 51358904 60422240 64198630 102717808 120844480 128397260 205435616 256794520 410871232 513589040 1027178080 2054356160