Search a number
-
+
5756940 = 2233571523
BaseRepresentation
bin10101111101100000001100
3101211111001000
4111331200030
52433210230
6323220300
766635040
oct25754014
911744030
105756940
113282302
121b17690
131267497
14a9c020
1578ab60
hex57d80c

5756940 has 96 divisors (see below), whose sum is σ = 20482560. Its totient is φ = 1315008.

The previous prime is 5756939. The next prime is 5756951. The reversal of 5756940 is 496575.

5756940 is a `hidden beast` number, since 57 + 569 + 40 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5756895 and 5756904.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3019 + ... + 4541.

It is an arithmetic number, because the mean of its divisors is an integer number (213360).

Almost surely, 25756940 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 5756940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280).

5756940 is an abundant number, since it is smaller than the sum of its proper divisors (14725620).

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

5756940 is a wasteful number, since it uses less digits than its factorization.

5756940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5756940 is about 2399.3624153095. The cubic root of 5756940 is about 179.2244409558.

The spelling of 5756940 in words is "five million, seven hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1523 1890 3046 3780 4569 6092 7615 9138 10661 13707 15230 18276 21322 22845 27414 30460 31983 41121 42644 45690 53305 54828 63966 68535 82242 91380 95949 106610 127932 137070 159915 164484 191898 205605 213220 274140 287847 319830 383796 411210 479745 575694 639660 822420 959490 1151388 1439235 1918980 2878470 5756940