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5867114240 = 285131013491
BaseRepresentation
bin1010111011011010…
…10000111100000000
3120010220000021200102
411131231100330000
544003440123430
62410104341532
7265251435221
oct53555207400
916126007612
105867114240
112540918849
121178a748a8
137266ac940
143d92db248
15245139345
hex15db50f00

5867114240 has 144 divisors (see below), whose sum is σ = 15288842016. Its totient is φ = 2144256000.

The previous prime is 5867114203. The next prime is 5867114249. The reversal of 5867114240 is 424117685.

It is a junction number, because it is equal to n+sod(n) for n = 5867114194 and 5867114203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5867114249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1678895 + ... + 1682385.

It is an arithmetic number, because the mean of its divisors is an integer number (106172514).

Almost surely, 25867114240 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 5867114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644421008).

5867114240 is an abundant number, since it is smaller than the sum of its proper divisors (9421727776).

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

5867114240 is a wasteful number, since it uses less digits than its factorization.

5867114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 5867114240 is about 76597.0902841616. The cubic root of 5867114240 is about 1803.6053498948.

The spelling of 5867114240 in words is "five billion, eight hundred sixty-seven million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 101 104 128 130 160 202 208 256 260 320 404 416 505 520 640 808 832 1010 1040 1280 1313 1616 1664 2020 2080 2626 3232 3328 3491 4040 4160 5252 6464 6565 6982 8080 8320 10504 12928 13130 13964 16160 16640 17455 21008 25856 26260 27928 32320 34910 42016 45383 52520 55856 64640 69820 84032 90766 105040 111712 129280 139640 168064 181532 210080 223424 226915 279280 336128 352591 363064 420160 446848 453830 558560 705182 726128 840320 893696 907660 1117120 1410364 1452256 1680640 1762955 1815320 2234240 2820728 2904512 3525910 3630640 4468480 4583683 5641456 5809024 7051820 7261280 9167366 11282912 11618048 14103640 14522560 18334732 22565824 22918415 28207280 29045120 36669464 45131648 45836830 56414560 58090240 73338928 90263296 91673660 112829120 146677856 183347320 225658240 293355712 366694640 451316480 586711424 733389280 1173422848 1466778560 2933557120 5867114240