Search a number
-
+
6871543040 = 28519299743
BaseRepresentation
bin1100110011001001…
…10110110100000000
3122201220000112222002
412121210312310000
5103033103334130
63053505003132
7332166103115
oct63144666400
918656015862
106871543040
112a06896a9a
1213b93234a8
1385680a8cb
1449287c90c
152a33e2b45
hex199936d00

6871543040 has 144 divisors (see below), whose sum is σ = 17925062400. Its totient is φ = 2513903616.

The previous prime is 6871543039. The next prime is 6871543057. The reversal of 6871543040 is 403451786.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 6871542985 and 6871543003.

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, 700409 + ... + 710151.

It is an arithmetic number, because the mean of its divisors is an integer number (124479600).

Almost surely, 26871543040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6871543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962531200).

6871543040 is an abundant number, since it is smaller than the sum of its proper divisors (11053519360).

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

6871543040 is a wasteful number, since it uses less digits than its factorization.

6871543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 6871543040 is about 82894.7708845377. The cubic root of 6871543040 is about 1901.1574701706.

The spelling of 6871543040 in words is "six billion, eight hundred seventy-one million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 128 145 152 160 190 232 256 290 304 320 380 464 551 580 608 640 760 928 1102 1160 1216 1280 1520 1856 2204 2320 2432 2755 3040 3712 4408 4640 4864 5510 6080 7424 8816 9280 9743 11020 12160 17632 18560 19486 22040 24320 35264 37120 38972 44080 48715 70528 77944 88160 97430 141056 155888 176320 185117 194860 282547 311776 352640 370234 389720 565094 623552 705280 740468 779440 925585 1130188 1247104 1412735 1480936 1558880 1851170 2260376 2494208 2825470 2961872 3117760 3702340 4520752 5368393 5650940 5923744 6235520 7404680 9041504 10736786 11301880 11847488 12471040 14809360 18083008 21473572 22603760 23694976 26841965 29618720 36166016 42947144 45207520 47389952 53683930 59237440 72332032 85894288 90415040 107367860 118474880 171788576 180830080 214735720 236949760 343577152 361660160 429471440 687154304 858942880 1374308608 1717885760 3435771520 6871543040