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BaseRepresentation
bin111111101111101100000
310221010021222
413331331200
51013320200
6112434212
723516540
oct7757540
93833258
102088800
1111a738a
12848968
1358199c
143c5320
152b3d85
hex1fdf60

2088800 has 72 divisors (see below), whose sum is σ = 5843376. Its totient is φ = 714240.

The previous prime is 2088787. The next prime is 2088817. The reversal of 2088800 is 88802.

It is a self number, because there is not a number n which added to its sum of digits gives 2088800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5414 + ... + 5786.

It is an arithmetic number, because the mean of its divisors is an integer number (81158).

22088800 is an apocalyptic number.

2088800 is a gapful number since it is divisible by the number (20) 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 2088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921688).

2088800 is an abundant number, since it is smaller than the sum of its proper divisors (3754576).

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

2088800 is a wasteful number, since it uses less digits than its factorization.

2088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 2088800 is about 1445.2681412112. The cubic root of 2088800 is about 127.8298520508.

The spelling of 2088800 in words is "two million, eighty-eight thousand, eight hundred".