Search a number
-
+
5996766240 = 253254396847
BaseRepresentation
bin1011001010110111…
…10110010000100000
3120110220222021210100
411211123312100200
544240133004430
62431015302400
7301414446333
oct54533662040
916426867710
105996766240
1125a8022263
1211b437aa00
13747505bba
1440c60a61a
152516e9960
hex1656f6420

5996766240 has 144 divisors (see below), whose sum is σ = 20940087168. Its totient is φ = 1561932288.

The previous prime is 5996766233. The next prime is 5996766257. The reversal of 5996766240 is 426676995.

5996766240 is a `hidden beast` number, since 5 + 9 + 9 + 6 + 7 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×59967662402 = 71922410674407475200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13497 + ... + 110343.

It is an arithmetic number, because the mean of its divisors is an integer number (145417272).

Almost surely, 25996766240 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 5996766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470043584).

5996766240 is an abundant number, since it is smaller than the sum of its proper divisors (14943320928).

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

5996766240 is a wasteful number, since it uses less digits than its factorization.

5996766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96911 (or 96900 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 5996766240 is about 77438.7902798074. The cubic root of 5996766240 is about 1816.7940823949.

The spelling of 5996766240 in words is "five billion, nine hundred ninety-six million, seven hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 30960 61920 96847 193694 290541 387388 484235 581082 774776 871623 968470 1162164 1452705 1549552 1743246 1936940 2324328 2905410 3099104 3486492 3873880 4164421 4358115 4648656 5810820 6972984 7747760 8328842 8716230 9297312 11621640 12493263 13945968 15495520 16657684 17432460 20822105 23243280 24986526 27891936 33315368 34864920 37479789 41644210 46486560 49973052 62466315 66630736 69729840 74959578 83288420 99946104 124932630 133261472 139459680 149919156 166576840 187398945 199892208 249865260 299838312 333153680 374797890 399784416 499730520 599676624 666307360 749595780 999461040 1199353248 1499191560 1998922080 2998383120 5996766240