Search a number
-
+
5593380480 = 27345107897
BaseRepresentation
bin1010011010110010…
…00011011010000000
3112102210221011120000
411031121003122000
542423401133410
62323005320000
7255415643502
oct51531033200
915383834500
105593380480
1124103545a6
121101266000
136b1a7a4bc
143b0c03d72
1522b0b7dc0
hex14d643680

5593380480 has 160 divisors (see below), whose sum is σ = 19975156740. Its totient is φ = 1491554304.

The previous prime is 5593380469. The next prime is 5593380487. The reversal of 5593380480 is 840833955.

It is a happy number.

5593380480 is a `hidden beast` number, since 5 + 5 + 93 + 3 + 80 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5531789376 + 61591104 = 74376^2 + 7848^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5593380487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2109 + ... + 105788.

Almost surely, 25593380480 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 5593380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9987578370).

5593380480 is an abundant number, since it is smaller than the sum of its proper divisors (14381776260).

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

5593380480 is a wasteful number, since it uses less digits than its factorization.

5593380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107928 (or 107907 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5593380480 is about 74788.9061291847. The cubic root of 5593380480 is about 1775.1080254297.

The spelling of 5593380480 in words is "five billion, five hundred ninety-three million, three hundred eighty thousand, four hundred 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 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 107897 215794 323691 431588 539485 647382 863176 971073 1078970 1294764 1618455 1726352 1942146 2157940 2589528 2913219 3236910 3452704 3884292 4315880 4855365 5179056 5826438 6473820 6905408 7768584 8631760 8739657 9710730 10358112 11652876 12947640 13810816 14566095 15537168 17263520 17479314 19421460 20716224 23305752 25895280 29132190 31074336 34527040 34958628 38842920 41432448 43698285 46611504 51790560 58264380 62148672 69054080 69917256 77685840 87396570 93223008 103581120 116528760 124297344 139834512 155371680 174793140 186446016 207162240 233057520 279669024 310743360 349586280 372892032 466115040 559338048 621486720 699172560 932230080 1118676096 1398345120 1864460160 2796690240 5593380480