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5218920 = 23325719109
BaseRepresentation
bin10011111010001001101000
3100211011000100
4103322021220
52314001140
6303505400
762234340
oct23721150
910734010
105218920
112a45063
1218b8260
131109625
1499bd20
156d1530
hex4fa268

5218920 has 192 divisors, whose sum is σ = 20592000. Its totient is φ = 1119744.

The previous prime is 5218919. The next prime is 5218933. The reversal of 5218920 is 298125.

5218920 = T211 + T212 + ... + T343.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47826 + ... + 47934.

It is an arithmetic number, because the mean of its divisors is an integer number (107250).

Almost surely, 25218920 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 5218920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296000).

5218920 is an abundant number, since it is smaller than the sum of its proper divisors (15373080).

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

5218920 is a wasteful number, since it uses less digits than its factorization.

5218920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5218920 is about 2284.4955679537. The cubic root of 5218920 is about 173.4576852572.

The spelling of 5218920 in words is "five million, two hundred eighteen thousand, nine hundred twenty".