Search a number
-
+
5706540 = 2232572647
BaseRepresentation
bin10101110001001100101100
3101201220220100
4111301030230
52430102130
6322151100
766335100
oct25611454
911656810
105706540
113248454
121ab2490
13124a568
14a87900
1577ac60
hex57132c

5706540 has 108 divisors (see below), whose sum is σ = 20167056. Its totient is φ = 1302336.

The previous prime is 5706529. The next prime is 5706541. The reversal of 5706540 is 456075.

5706540 is a `hidden beast` number, since 5 + 7 + 0 + 654 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5706541) 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 35 ways as a sum of consecutive naturals, for example, 8497 + ... + 9143.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 25706540 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 5706540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528).

5706540 is an abundant number, since it is smaller than the sum of its proper divisors (14460516).

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

5706540 is a wasteful number, since it uses less digits than its factorization.

5706540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5706540 is about 2388.8365368941. The cubic root of 5706540 is about 178.6998914103.

The spelling of 5706540 in words is "five million, seven hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 647 735 882 980 1260 1294 1470 1764 1941 2205 2588 2940 3235 3882 4410 4529 5823 6470 7764 8820 9058 9705 11646 12940 13587 18116 19410 22645 23292 27174 29115 31703 38820 40761 45290 54348 58230 63406 67935 81522 90580 95109 116460 126812 135870 158515 163044 190218 203805 271740 285327 317030 380436 407610 475545 570654 634060 815220 951090 1141308 1426635 1902180 2853270 5706540