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5084160 = 21035331
BaseRepresentation
bin10011011001010000000000
3100120022011020
4103121100000
52300143120
6300545440
761133424
oct23312000
910508136
105084160
112962894
121852280
1310901a3
14964b84
156a6640
hex4d9400

5084160 has 88 divisors (see below), whose sum is σ = 16310496. Its totient is φ = 1351680.

The previous prime is 5084147. The next prime is 5084171. The reversal of 5084160 is 614805.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5084160.

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 7 ways as a sum of consecutive naturals, for example, 15195 + ... + 15525.

Almost surely, 25084160 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 5084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155248).

5084160 is an abundant number, since it is smaller than the sum of its proper divisors (11226336).

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

5084160 is a wasteful number, since it uses less digits than its factorization.

5084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5084160 is about 2254.8081958340. The cubic root of 5084160 is about 171.9516720181.

Adding to 5084160 its reverse (614805), we get a palindrome (5698965).

The spelling of 5084160 in words is "five million, eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 331 384 480 512 640 662 768 960 993 1024 1280 1324 1536 1655 1920 1986 2560 2648 3072 3310 3840 3972 4965 5120 5296 6620 7680 7944 9930 10592 13240 15360 15888 19860 21184 26480 31776 39720 42368 52960 63552 79440 84736 105920 127104 158880 169472 211840 254208 317760 338944 423680 508416 635520 847360 1016832 1271040 1694720 2542080 5084160