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5302000 = 245311241
BaseRepresentation
bin10100001110011011110000
3100222100222101
4110032123300
52324131000
6305350144
763031504
oct24163360
910870871
105302000
112aa1520
121938354
1311383a2
149c0304
156eae6a
hex50e6f0

5302000 has 80 divisors (see below), whose sum is σ = 14043744. Its totient is φ = 1920000.

The previous prime is 5301991. The next prime is 5302001. The reversal of 5302000 is 2035.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×53020002 = 56222408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5302001) 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, 21880 + ... + 22120.

Almost surely, 25302000 is an apocalyptic number.

5302000 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 5302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021872).

5302000 is an abundant number, since it is smaller than the sum of its proper divisors (8741744).

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

5302000 is a wasteful number, since it uses less digits than its factorization.

5302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 5302000 is about 2302.6072179162. The cubic root of 5302000 is about 174.3732683547.

Adding to 5302000 its reverse (2035), we get a palindrome (5304035).

The spelling of 5302000 in words is "five million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 241 250 275 400 440 482 500 550 880 964 1000 1100 1205 1375 1928 2000 2200 2410 2651 2750 3856 4400 4820 5302 5500 6025 9640 10604 11000 12050 13255 19280 21208 22000 24100 26510 30125 42416 48200 53020 60250 66275 96400 106040 120500 132550 212080 241000 265100 331375 482000 530200 662750 1060400 1325500 2651000 5302000