Search a number
-
+
5993123920 = 245760117807
BaseRepresentation
bin1011001010011011…
…11101000001010000
3120110200010020110121
411211031331001100
544233214431140
62430405240024
7301341466330
oct54515750120
916420106417
105993123920
1125a5a64783
1211b3103014
1374682c094
1440bd3d0c0
1525122a64a
hex16537d050

5993123920 has 80 divisors (see below), whose sum is σ = 15951979008. Its totient is φ = 2051251200.

The previous prime is 5993123911. The next prime is 5993123921. The reversal of 5993123920 is 293213995.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5993123921) 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, 327657 + ... + 345463.

Almost surely, 25993123920 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 5993123920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975989504).

5993123920 is an abundant number, since it is smaller than the sum of its proper divisors (9958855088).

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

5993123920 is a wasteful number, since it uses less digits than its factorization.

5993123920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18428 (or 18422 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 43.

The square root of 5993123920 is about 77415.2692948878. The cubic root of 5993123920 is about 1816.4261793530.

The spelling of 5993123920 in words is "five billion, nine hundred ninety-three million, one hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 601 1202 2404 3005 4207 4808 6010 8414 9616 12020 16828 17807 21035 24040 33656 35614 42070 48080 67312 71228 84140 89035 124649 142456 168280 178070 249298 284912 336560 356140 498596 623245 712280 997192 1246490 1424560 1994384 2492980 4985960 9971920 10702007 21404014 42808028 53510035 74914049 85616056 107020070 149828098 171232112 214040140 299656196 374570245 428080280 599312392 749140490 856160560 1198624784 1498280980 2996561960 5993123920