Search a number
-
+
860306620720 = 24517387770879
BaseRepresentation
bin11001000010011100100…
…01010100000100110000
310001020121020200111021211
430201032101110010300
5103043401443330340
61455115220325504
7116104125422461
oct14411621240460
93036536614254
10860306620720
11301943728508
1211a896b43894
13631850b2031
142d8d3832d68
15175a29105ea
hexc84e454130

860306620720 has 80 divisors (see below), whose sum is σ = 2014097160960. Its totient is φ = 341738560512.

The previous prime is 860306620711. The next prime is 860306620721. The reversal of 860306620720 is 27026603068.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (860306620721) 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, 12102241 + ... + 12173119.

It is an arithmetic number, because the mean of its divisors is an integer number (25176214512).

Almost surely, 2860306620720 is an apocalyptic number.

860306620720 is a gapful number since it is divisible by the number (80) 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 860306620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007048580480).

860306620720 is an abundant number, since it is smaller than the sum of its proper divisors (1153790540240).

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

860306620720 is a wasteful number, since it uses less digits than its factorization.

860306620720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71942 (or 71936 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 860306620720 in words is "eight hundred sixty billion, three hundred six million, six hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 877 1384 1730 1754 2768 3460 3508 4385 6920 7016 8770 13840 14032 17540 35080 70160 70879 141758 151721 283516 303442 354395 567032 606884 708790 758605 1134064 1213768 1417580 1517210 2427536 2835160 3034420 5670320 6068840 12137680 12262067 24524134 49048268 61310335 62160883 98096536 122620670 124321766 196193072 245241340 248643532 310804415 490482680 497287064 621608830 980965360 994574128 1243217660 2486435320 4972870640 10753832759 21507665518 43015331036 53769163795 86030662072 107538327590 172061324144 215076655180 430153310360 860306620720