Search a number
-
+
5769750 = 235372157
BaseRepresentation
bin10110000000101000010110
3101212010121110
4112000220112
52434113000
6323355450
7100020300
oct26005026
911763543
105769750
113290998
121b22b86
13127026c
14aa2970
1578e850
hex580a16

5769750 has 96 divisors (see below), whose sum is σ = 16859232. Its totient is φ = 1310400.

The previous prime is 5769721. The next prime is 5769769. The reversal of 5769750 is 579675.

It is a junction number, because it is equal to n+sod(n) for n = 5769699 and 5769708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36672 + ... + 36828.

It is an arithmetic number, because the mean of its divisors is an integer number (175617).

Almost surely, 25769750 is an apocalyptic number.

5769750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5769750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429616).

5769750 is an abundant number, since it is smaller than the sum of its proper divisors (11089482).

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

5769750 is a wasteful number, since it uses less digits than its factorization.

5769750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 5769750 is about 2402.0303911483. The cubic root of 5769750 is about 179.3572756629.

The spelling of 5769750 in words is "five million, seven hundred sixty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 125 147 150 157 175 210 245 250 294 314 350 375 471 490 525 735 750 785 875 942 1050 1099 1225 1470 1570 1750 2198 2355 2450 2625 3297 3675 3925 4710 5250 5495 6125 6594 7350 7693 7850 10990 11775 12250 15386 16485 18375 19625 23079 23550 27475 32970 36750 38465 39250 46158 54950 58875 76930 82425 115395 117750 137375 164850 192325 230790 274750 384650 412125 576975 824250 961625 1153950 1923250 2884875 5769750