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2056019040 = 2532510913099
BaseRepresentation
bin111101010001100…
…0101110001100000
312022021202120220100
41322203011301200
513202320102130
6540003342400
7101643605415
oct17243056140
95267676810
102056019040
11965629599
12494681a00
13269c5c31a
141570bc10c
15c077ac60
hex7a8c5c60

2056019040 has 144 divisors (see below), whose sum is σ = 7081074000. Its totient is φ = 543200256.

The previous prime is 2056019029. The next prime is 2056019041. The reversal of 2056019040 is 409106502.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2056018995 and 2056019013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056019041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150411 + ... + 163509.

It is an arithmetic number, because the mean of its divisors is an integer number (49174125).

Almost surely, 22056019040 is an apocalyptic number.

2056019040 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 2056019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540537000).

2056019040 is an abundant number, since it is smaller than the sum of its proper divisors (5025054960).

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

2056019040 is a wasteful number, since it uses less digits than its factorization.

2056019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13229 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2056019040 is about 45343.3461491320. The cubic root of 2056019040 is about 1271.5761611512.

The spelling of 2056019040 in words is "two billion, fifty-six million, nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 109 120 144 160 180 218 240 288 327 360 436 480 545 654 720 872 981 1090 1308 1440 1635 1744 1962 2180 2616 3270 3488 3924 4360 4905 5232 6540 7848 8720 9810 10464 13080 13099 15696 17440 19620 26160 26198 31392 39240 39297 52320 52396 65495 78480 78594 104792 117891 130990 156960 157188 196485 209584 235782 261980 314376 392970 419168 471564 523960 589455 628752 785940 943128 1047920 1178910 1257504 1427791 1571880 1886256 2095840 2357820 2855582 3143760 3772512 4283373 4715640 5711164 6287520 7138955 8566746 9431280 11422328 12850119 14277910 17133492 18862560 21416865 22844656 25700238 28555820 34266984 42833730 45689312 51400476 57111640 64250595 68533968 85667460 102800952 114223280 128501190 137067936 171334920 205601904 228446560 257002380 342669840 411203808 514004760 685339680 1028009520 2056019040