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5361000 = 233531787
BaseRepresentation
bin10100011100110101101000
3101002100220120
4110130311220
52333023000
6310523240
763365511
oct24346550
911070816
105361000
113031887
121966520
1311591b8
149d7a08
1570d6a0
hex51cd68

5361000 has 64 divisors (see below), whose sum is σ = 16735680. Its totient is φ = 1428800.

The previous prime is 5360987. The next prime is 5361007. The reversal of 5361000 is 1635.

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 (5361007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107 + ... + 3893.

It is an arithmetic number, because the mean of its divisors is an integer number (261495).

Almost surely, 25361000 is an apocalyptic number.

5361000 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 5361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367840).

5361000 is an abundant number, since it is smaller than the sum of its proper divisors (11374680).

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

5361000 is a wasteful number, since it uses less digits than its factorization.

5361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1797 counting only the distinct ones).

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

The square root of 5361000 is about 2315.3833375923. The cubic root of 5361000 is about 175.0176852875.

Adding to 5361000 its reverse (1635), we get a palindrome (5362635).

The spelling of 5361000 in words is "five million, three hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1787 3000 3574 5361 7148 8935 10722 14296 17870 21444 26805 35740 42888 44675 53610 71480 89350 107220 134025 178700 214440 223375 268050 357400 446750 536100 670125 893500 1072200 1340250 1787000 2680500 5361000