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5520800 = 255267103
BaseRepresentation
bin10101000011110110100000
3101101111010002
4111003312200
52403131200
6314155132
764632425
oct25036640
911344102
105520800
11313094a
121a22aa8
1311b3b5c
14a39d4c
15740bd5
hex543da0

5520800 has 72 divisors (see below), whose sum is σ = 13811616. Its totient is φ = 2154240.

The previous prime is 5520799. The next prime is 5520803. The reversal of 5520800 is 80255.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5520803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53549 + ... + 53651.

It is an arithmetic number, because the mean of its divisors is an integer number (191828).

Almost surely, 25520800 is an apocalyptic number.

5520800 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 5520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905808).

5520800 is an abundant number, since it is smaller than the sum of its proper divisors (8290816).

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

5520800 is a wasteful number, since it uses less digits than its factorization.

5520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5520800 is about 2349.6382700322. The cubic root of 5520800 is about 176.7396557708.

The spelling of 5520800 in words is "five million, five hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 103 134 160 200 206 268 335 400 412 515 536 670 800 824 1030 1072 1340 1648 1675 2060 2144 2575 2680 3296 3350 4120 5150 5360 6700 6901 8240 10300 10720 13400 13802 16480 20600 26800 27604 34505 41200 53600 55208 69010 82400 110416 138020 172525 220832 276040 345050 552080 690100 1104160 1380200 2760400 5520800