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5521920 = 2935719
BaseRepresentation
bin10101000100001000000000
3101101112122120
4111010020000
52403200140
6314204240
764635615
oct25041000
911345576
105521920
113131778
121a23680
1311b4511
14a3a50c
157411d0
hex544200

5521920 has 80 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1470464.

The previous prime is 5521891. The next prime is 5521927. The reversal of 5521920 is 291255.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5521927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7321 + ... + 8039.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 25521920 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 5521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

5521920 is an abundant number, since it is smaller than the sum of its proper divisors (12155520).

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

5521920 is an equidigital number, since it uses as much as digits as its factorization.

5521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5521920 is about 2349.8765925044. The cubic root of 5521920 is about 176.7516066373.

It can be divided in two parts, 5521 and 920, that added together give a triangular number (6441 = T113).

The spelling of 5521920 in words is "five million, five hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 719 768 960 1280 1438 1536 1920 2157 2560 2876 3595 3840 4314 5752 7190 7680 8628 10785 11504 14380 17256 21570 23008 28760 34512 43140 46016 57520 69024 86280 92032 115040 138048 172560 184064 230080 276096 345120 368128 460160 552192 690240 920320 1104384 1380480 1840640 2760960 5521920