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2116800 = 26335272
BaseRepresentation
bin1000000100110011000000
310222112201000
420010303000
51020214200
6113212000
723664300
oct10046300
93875630
102116800
111216424
12861000
1359165a
143d1600
152bc300
hex204cc0

2116800 has 252 divisors, whose sum is σ = 8976360. Its totient is φ = 483840.

The previous prime is 2116799. The next prime is 2116801. The reversal of 2116800 is 86112.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2116799) and next prime (2116801).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2116801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302397 + ... + 302403.

22116800 is an apocalyptic number.

2116800 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 2116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488180).

2116800 is an abundant number, since it is smaller than the sum of its proper divisors (6859560).

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

2116800 is a wasteful number, since it uses less digits than its factorization.

2116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2116800 is about 1454.9226783579. The cubic root of 2116800 is about 128.3984976678.

It can be divided in two parts, 2116 and 800, that added together give a square (2916 = 542).

The spelling of 2116800 in words is "two million, one hundred sixteen thousand, eight hundred".