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2055786960 = 243597233379
BaseRepresentation
bin111101010001000…
…1101000111010000
312022021022210112210
41322202031013100
513202240140320
6535554352120
7101641620663
oct17242150720
95267283483
102055786960
11965490197
1249458b640
13269baa7b6
1415705b6da
15c07320e0
hex7a88d1d0

2055786960 has 160 divisors (see below), whose sum is σ = 6483335040. Its totient is φ = 538804224.

The previous prime is 2055786923. The next prime is 2055786961. The reversal of 2055786960 is 696875502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055786961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5424051 + ... + 5424429.

It is an arithmetic number, because the mean of its divisors is an integer number (40520844).

Almost surely, 22055786960 is an apocalyptic number.

2055786960 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 2055786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241667520).

2055786960 is an abundant number, since it is smaller than the sum of its proper divisors (4427548080).

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

2055786960 is a wasteful number, since it uses less digits than its factorization.

2055786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 2055786960 is about 45340.7869362674. The cubic root of 2055786960 is about 1271.5283148855.

The spelling of 2055786960 in words is "two billion, fifty-five million, seven hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 233 240 291 379 388 466 485 582 699 758 776 932 970 1137 1164 1165 1398 1455 1516 1552 1864 1895 1940 2274 2328 2330 2796 2910 3032 3495 3728 3790 3880 4548 4656 4660 5592 5685 5820 6064 6990 7580 7760 9096 9320 11184 11370 11640 13980 15160 18192 18640 22601 22740 23280 27960 30320 36763 45202 45480 55920 67803 73526 88307 90404 90960 110289 113005 135606 147052 176614 180808 183815 220578 226010 264921 271212 294104 339015 353228 361616 367630 441156 441535 452020 529842 542424 551445 588208 678030 706456 735260 882312 883070 904040 1059684 1084848 1102890 1324605 1356060 1412912 1470520 1764624 1766140 1808080 2119368 2205780 2649210 2712120 2941040 3532280 4238736 4411560 5298420 5424240 7064560 8565779 8823120 10596840 17131558 21193680 25697337 34263116 42828895 51394674 68526232 85657790 102789348 128486685 137052464 171315580 205578696 256973370 342631160 411157392 513946740 685262320 1027893480 2055786960