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5243040 = 2532511331
BaseRepresentation
bin10100000000000010100000
3100212101002200
4110000002200
52320234130
6304213200
762364555
oct24000240
910771080
105243040
112a611a0
12190a200
1311175ba
149a6a2c
156d8760
hex5000a0

5243040 has 144 divisors (see below), whose sum is σ = 19577376. Its totient is φ = 1267200.

The previous prime is 5243023. The next prime is 5243059. The reversal of 5243040 is 403425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5 + 27 + 410 + 33 + 0 + 411 + 0 .

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15675 + ... + 16005.

It is an arithmetic number, because the mean of its divisors is an integer number (135954).

Almost surely, 25243040 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 5243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9788688).

5243040 is an abundant number, since it is smaller than the sum of its proper divisors (14334336).

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

5243040 is a wasteful number, since it uses less digits than its factorization.

5243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5243040 is about 2289.7685472554. The cubic root of 5243040 is about 173.7244946431.

Adding to 5243040 its reverse (403425), we get a palindrome (5646465).

The spelling of 5243040 in words is "five million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 331 352 360 396 440 480 495 528 660 662 720 792 880 990 993 1056 1320 1324 1440 1584 1655 1760 1980 1986 2640 2648 2979 3168 3310 3641 3960 3972 4965 5280 5296 5958 6620 7282 7920 7944 9930 10592 10923 11916 13240 14564 14895 15840 15888 18205 19860 21846 23832 26480 29128 29790 31776 32769 36410 39720 43692 47664 52960 54615 58256 59580 65538 72820 79440 87384 95328 109230 116512 119160 131076 145640 158880 163845 174768 218460 238320 262152 291280 327690 349536 436920 476640 524304 582560 655380 873840 1048608 1310760 1747680 2621520 5243040