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2006400 = 273521119
BaseRepresentation
bin111101001110110000000
310202221021010
413221312000
51003201100
6111000520
723024364
oct7516600
93687233
102006400
111150490
12809140
13553326
143a32a4
15299750
hex1e9d80

2006400 has 192 divisors, whose sum is σ = 7588800. Its totient is φ = 460800.

The previous prime is 2006393. The next prime is 2006429. The reversal of 2006400 is 46002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105591 + ... + 105609.

It is an arithmetic number, because the mean of its divisors is an integer number (39525).

22006400 is an apocalyptic number.

2006400 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 2006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

2006400 is an abundant number, since it is smaller than the sum of its proper divisors (5582400).

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

2006400 is a wasteful number, since it uses less digits than its factorization.

2006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2006400 is about 1416.4744967701. The cubic root of 2006400 is about 126.1263534714.

The spelling of 2006400 in words is "two million, six thousand, four hundred".