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5118080 = 27511727
BaseRepresentation
bin10011100001100010000000
3100122000200112
4103201202000
52302234310
6301410452
761334342
oct23414200
910560615
105118080
112986320
121869a28
1310a2766
14973292
156b1705
hex4e1880

5118080 has 64 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1858560.

The previous prime is 5118079. The next prime is 5118089. The reversal of 5118080 is 808115.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6677 + ... + 7403.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 25118080 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 5118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

5118080 is an abundant number, since it is smaller than the sum of its proper divisors (8248000).

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

5118080 is a wasteful number, since it uses less digits than its factorization.

5118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 5118080 is about 2262.3173959460. The cubic root of 5118080 is about 172.3332281620. Note that the first 3 decimals are identical.

Adding to 5118080 its product of nonzero digits (320), we get a triangular number (5118400 = T3199).

The spelling of 5118080 in words is "five million, one hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 727 880 1408 1454 1760 2908 3520 3635 5816 7040 7270 7997 11632 14540 15994 23264 29080 31988 39985 46528 58160 63976 79970 93056 116320 127952 159940 232640 255904 319880 465280 511808 639760 1023616 1279520 2559040 5118080