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5984604340 = 22511213214633
BaseRepresentation
bin1011001001011010…
…11101000010110100
3120110002002101210121
411210231131002310
544224024314330
62425502501324
7301206204031
oct54455350264
916402071717
105984604340
1125a1175900
1211b0294844
13744b38300
1440ab62388
152505e617a
hex164b5d0b4

5984604340 has 108 divisors (see below), whose sum is σ = 14959430892. Its totient is φ = 2008680960.

The previous prime is 5984604317. The next prime is 5984604341. The reversal of 5984604340 is 434064895.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3229194276 + 2755410064 = 56826^2 + 52492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5984604341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 401664 + ... + 416296.

It is an arithmetic number, because the mean of its divisors is an integer number (138513249).

Almost surely, 25984604340 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 5984604340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479715446).

5984604340 is an abundant number, since it is smaller than the sum of its proper divisors (8974826552).

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

5984604340 is a wasteful number, since it uses less digits than its factorization.

5984604340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 5984604340 is about 77360.2245343174. The cubic root of 5984604340 is about 1815.5650521057.

The spelling of 5984604340 in words is "five billion, nine hundred eighty-four million, six hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 169 220 242 260 286 338 484 572 605 676 715 845 1210 1430 1573 1690 1859 2420 2860 3146 3380 3718 6292 7436 7865 9295 14633 15730 18590 20449 29266 31460 37180 40898 58532 73165 81796 102245 146330 160963 190229 204490 292660 321926 380458 408980 643852 760916 804815 951145 1609630 1770593 1902290 2092519 2472977 3219260 3541186 3804580 4185038 4945954 7082372 8370076 8852965 9891908 10462595 12364885 17705930 20925190 23017709 24729770 27202747 35411860 41850380 46035418 49459540 54405494 92070836 108810988 115088545 136013735 230177090 272027470 299230217 460354180 544054940 598460434 1196920868 1496151085 2992302170 5984604340