Search a number
-
+
10741543120 = 2457119371861
BaseRepresentation
bin10100000000011111…
…01111000011010000
31000201121002221001101
422000033233003100
5133444313334440
64533512314144
7530120416150
oct120017570320
930647087041
1010741543120
114612359370
1220b93a2954
131022513899
1473c832760
1542d03969a
hex2803ef0d0

10741543120 has 160 divisors (see below), whose sum is σ = 31186503936. Its totient is φ = 3342643200.

The previous prime is 10741543091. The next prime is 10741543187. The reversal of 10741543120 is 2134514701.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5770990 + ... + 5772850.

Almost surely, 210741543120 is an apocalyptic number.

10741543120 is a gapful number since it is divisible by the number (10) 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 10741543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593251968).

10741543120 is an abundant number, since it is smaller than the sum of its proper divisors (20444960816).

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

10741543120 is a wasteful number, since it uses less digits than its factorization.

10741543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 10741543120 in words is "ten billion, seven hundred forty-one million, five hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 937 1232 1540 1861 1874 3080 3722 3748 4685 6160 6559 7444 7496 9305 9370 10307 13027 13118 14888 14992 18610 18740 20471 20614 26054 26236 29776 32795 37220 37480 40942 41228 51535 52108 52472 65135 65590 72149 74440 74960 81884 82456 102355 103070 104216 104944 130270 131180 143297 144298 148880 163768 164912 204710 206140 208432 260540 262360 286594 288596 327536 360745 409420 412280 521080 524720 573188 577192 716485 721490 818840 824560 1042160 1146376 1154384 1432970 1442980 1637680 1743757 2292752 2865940 2885960 3487514 5731880 5771920 6975028 8718785 11463760 12206299 13950056 17437570 19181327 24412598 27900112 34875140 38362654 48825196 61031495 69750280 76725308 95906635 97650392 122062990 134269289 139500560 153450616 191813270 195300784 244125980 268538578 306901232 383626540 488251960 537077156 671346445 767253080 976503920 1074154312 1342692890 1534506160 2148308624 2685385780 5370771560 10741543120