Search a number
-
+
5768700 = 2235274167
BaseRepresentation
bin10110000000010111111100
3101212002011120
4112000113330
52434044300
6323350540
7100014240
oct26002774
911762146
105768700
113290123
121b22450
13126c942
14aa2420
1578e3a0
hex5805fc

5768700 has 144 divisors (see below), whose sum is σ = 19832064. Its totient is φ = 1267200.

The previous prime is 5768689. The next prime is 5768701. The reversal of 5768700 is 78675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86067 + ... + 86133.

Almost surely, 25768700 is an apocalyptic number.

5768700 is a gapful number since it is divisible by the number (50) 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 5768700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916032).

5768700 is an abundant number, since it is smaller than the sum of its proper divisors (14063364).

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

5768700 is a wasteful number, since it uses less digits than its factorization.

5768700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 5768700 is about 2401.8118161088. The cubic root of 5768700 is about 179.3463949740.

The spelling of 5768700 in words is "five million, seven hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 67 70 75 82 84 100 105 123 134 140 150 164 175 201 205 210 246 268 287 300 335 350 402 410 420 469 492 525 574 615 670 700 804 820 861 938 1005 1025 1050 1148 1230 1340 1407 1435 1675 1722 1876 2010 2050 2100 2345 2460 2747 2814 2870 3075 3350 3444 4020 4100 4305 4690 5025 5494 5628 5740 6150 6700 7035 7175 8241 8610 9380 10050 10988 11725 12300 13735 14070 14350 16482 17220 19229 20100 21525 23450 27470 28140 28700 32964 35175 38458 41205 43050 46900 54940 57687 68675 70350 76916 82410 86100 96145 115374 137350 140700 164820 192290 206025 230748 274700 288435 384580 412050 480725 576870 824100 961450 1153740 1442175 1922900 2884350 5768700