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5022080 = 27571959
BaseRepresentation
bin10011001010000110000000
3100110010222222
4103022012000
52241201310
6255350212
760454430
oct23120600
910403888
105022080
112920188
121822368
13106ab5b
1494a2c0
15693055
hex4ca180

5022080 has 128 divisors (see below), whose sum is σ = 14688000. Its totient is φ = 1603584.

The previous prime is 5022079. The next prime is 5022097. The reversal of 5022080 is 802205.

It is a happy number.

It is a Cunningham number, because it is equal to 22412-1.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 85091 + ... + 85149.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

Almost surely, 25022080 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 5022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344000).

5022080 is an abundant number, since it is smaller than the sum of its proper divisors (9665920).

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

5022080 is a wasteful number, since it uses less digits than its factorization.

5022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5022080 is about 2240.9997768853. Note that the first 3 decimals coincide. The cubic root of 5022080 is about 171.2489335185.

Adding to 5022080 its reverse (802205), we get a palindrome (5824285).

The spelling of 5022080 in words is "five million, twenty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 59 64 70 76 80 95 112 118 128 133 140 152 160 190 224 236 266 280 295 304 320 380 413 448 472 532 560 590 608 640 665 760 826 896 944 1064 1120 1121 1180 1216 1330 1520 1652 1888 2065 2128 2240 2242 2360 2432 2660 3040 3304 3776 4130 4256 4480 4484 4720 5320 5605 6080 6608 7552 7847 8260 8512 8968 9440 10640 11210 12160 13216 15694 16520 17024 17936 18880 21280 22420 26432 31388 33040 35872 37760 39235 42560 44840 52864 62776 66080 71744 78470 85120 89680 125552 132160 143488 156940 179360 251104 264320 313880 358720 502208 627760 717440 1004416 1255520 2511040 5022080