Search a number
-
+
5333760 = 28325463
BaseRepresentation
bin10100010110001100000000
3101000222112200
4110112030000
52331140020
6310153200
763223215
oct24261400
911028480
105333760
113013373
121952800
131149993
149cbb0c
15705590
hex516300

5333760 has 108 divisors (see below), whose sum is σ = 18494112. Its totient is φ = 1419264.

The previous prime is 5333749. The next prime is 5333771. The reversal of 5333760 is 673335.

It is an interprime number because it is at equal distance from previous prime (5333749) and next prime (5333771).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11289 + ... + 11751.

Almost surely, 25333760 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 5333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247056).

5333760 is an abundant number, since it is smaller than the sum of its proper divisors (13160352).

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

5333760 is a wasteful number, since it uses less digits than its factorization.

5333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 5333760 is about 2309.4934509541. The cubic root of 5333760 is about 174.7207519188.

The spelling of 5333760 in words is "five million, three hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 463 480 576 640 720 768 926 960 1152 1280 1389 1440 1852 1920 2304 2315 2778 2880 3704 3840 4167 4630 5556 5760 6945 7408 8334 9260 11112 11520 13890 14816 16668 18520 20835 22224 27780 29632 33336 37040 41670 44448 55560 59264 66672 74080 83340 88896 111120 118528 133344 148160 166680 177792 222240 266688 296320 333360 355584 444480 533376 592640 666720 888960 1066752 1333440 1777920 2666880 5333760