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5316000 = 25353443
BaseRepresentation
bin10100010001110110100000
3101000002011220
4110101312200
52330103000
6305535040
763120354
oct24216640
911002156
105316000
113000a98
121944480
131141881
149c5464
157001a0
hex511da0

5316000 has 96 divisors (see below), whose sum is σ = 17454528. Its totient is φ = 1414400.

The previous prime is 5315993. The next prime is 5316001. The reversal of 5316000 is 6135.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (5316001) 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, 11779 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (181818).

Almost surely, 25316000 is an apocalyptic number.

5316000 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 5316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727264).

5316000 is an abundant number, since it is smaller than the sum of its proper divisors (12138528).

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

5316000 is a wasteful number, since it uses less digits than its factorization.

5316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5316000 is about 2305.6452459127. The cubic root of 5316000 is about 174.5266117601.

The spelling of 5316000 in words is "five million, three hundred sixteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 443 480 500 600 750 800 886 1000 1200 1329 1500 1772 2000 2215 2400 2658 3000 3544 4000 4430 5316 6000 6645 7088 8860 10632 11075 12000 13290 14176 17720 21264 22150 26580 33225 35440 42528 44300 53160 55375 66450 70880 88600 106320 110750 132900 166125 177200 212640 221500 265800 332250 354400 443000 531600 664500 886000 1063200 1329000 1772000 2658000 5316000