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5984065840 = 245615872089
BaseRepresentation
bin1011001001010110…
…11001100100110000
3120110001002001010011
411210223121210300
544223410101330
62425443144304
7301201502044
oct54453314460
916401061104
105984065840
1125a0938265
1211b0075094
137449aa17c
1440aa62024
1525053b82a
hex164ad9930

5984065840 has 80 divisors (see below), whose sum is σ = 14171905440. Its totient is φ = 2349250560.

The previous prime is 5984065831. The next prime is 5984065849. The reversal of 5984065840 is 485604895.

It is an interprime number because it is at equal distance from previous prime (5984065831) and next prime (5984065849).

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

It is not an unprimeable number, because it can be changed into a prime (5984065849) 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, 2863516 + ... + 2865604.

It is an arithmetic number, because the mean of its divisors is an integer number (177148818).

Almost surely, 25984065840 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 5984065840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085952720).

5984065840 is an abundant number, since it is smaller than the sum of its proper divisors (8187839600).

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

5984065840 is a wasteful number, since it uses less digits than its factorization.

5984065840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The square root of 5984065840 is about 77356.7439852532. The cubic root of 5984065840 is about 1815.5105950884.

The spelling of 5984065840 in words is "five billion, nine hundred eighty-four million, sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 587 610 976 1174 1220 2089 2348 2440 2935 4178 4696 4880 5870 8356 9392 10445 11740 16712 20890 23480 33424 35807 41780 46960 71614 83560 127429 143228 167120 179035 254858 286456 358070 509716 572912 637145 716140 1019432 1226243 1274290 1432280 2038864 2452486 2548580 2864560 4904972 5097160 6131215 9809944 10194320 12262430 19619888 24524860 49049720 74800823 98099440 149601646 299203292 374004115 598406584 748008230 1196813168 1496016460 2992032920 5984065840