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5516000 = 25537197
BaseRepresentation
bin10101000010101011100000
3101101020112022
4111002223200
52403003000
6314121012
764612430
oct25025340
911336468
105516000
113128286
121a20168
1311b1909
14a382c0
1573e585
hex542ae0

5516000 has 96 divisors (see below), whose sum is σ = 15567552. Its totient is φ = 1881600.

The previous prime is 5515981. The next prime is 5516009. The reversal of 5516000 is 6155.

It is a self number, because there is not a number n which added to its sum of digits gives 5516000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27902 + ... + 28098.

It is an arithmetic number, because the mean of its divisors is an integer number (162162).

Almost surely, 25516000 is an apocalyptic number.

5516000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776).

5516000 is an abundant number, since it is smaller than the sum of its proper divisors (10051552).

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

5516000 is a wasteful number, since it uses less digits than its factorization.

5516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5516000 is about 2348.6166140943. The cubic root of 5516000 is about 176.6884194567.

The spelling of 5516000 in words is "five million, five hundred sixteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 197 200 224 250 280 350 394 400 500 560 700 788 800 875 985 1000 1120 1379 1400 1576 1750 1970 2000 2758 2800 3152 3500 3940 4000 4925 5516 5600 6304 6895 7000 7880 9850 11032 13790 14000 15760 19700 22064 24625 27580 28000 31520 34475 39400 44128 49250 55160 68950 78800 98500 110320 137900 157600 172375 197000 220640 275800 344750 394000 551600 689500 788000 1103200 1379000 2758000 5516000