Search a number
-
+
5374080 = 27335311
BaseRepresentation
bin10100100000000010000000
3101010000212000
4110200002000
52333432310
6311104000
763451605
oct24400200
911100760
105374080
113040698
121972000
13116213a
149dc6ac
157124c0
hex520080

5374080 has 128 divisors (see below), whose sum is σ = 19094400. Its totient is φ = 1428480.

The previous prime is 5374079. The next prime is 5374123. The reversal of 5374080 is 804735.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17125 + ... + 17435.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 25374080 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 5374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

5374080 is an abundant number, since it is smaller than the sum of its proper divisors (13720320).

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

5374080 is a wasteful number, since it uses less digits than its factorization.

5374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5374080 is about 2318.2062030803. The cubic root of 5374080 is about 175.1599082593.

The spelling of 5374080 in words is "five million, three hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 311 320 360 384 432 480 540 576 622 640 720 864 933 960 1080 1152 1244 1440 1555 1728 1866 1920 2160 2488 2799 2880 3110 3456 3732 4320 4665 4976 5598 5760 6220 7464 8397 8640 9330 9952 11196 12440 13995 14928 16794 17280 18660 19904 22392 24880 27990 29856 33588 37320 39808 41985 44784 49760 55980 59712 67176 74640 83970 89568 99520 111960 119424 134352 149280 167940 179136 199040 223920 268704 298560 335880 358272 447840 537408 597120 671760 895680 1074816 1343520 1791360 2687040 5374080