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2162064 = 243311453
BaseRepresentation
bin1000001111110110010000
311001211210110
420033312100
51023141224
6114201320
724243252
oct10176620
94054713
102162064
111247433
12883240
135a9138
14403cd2
152ca929
hex20fd90

2162064 has 40 divisors (see below), whose sum is σ = 5769472. Its totient is φ = 696960.

The previous prime is 2162063. The next prime is 2162071. The reversal of 2162064 is 4602612.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2162064.

It is not an unprimeable number, because it can be changed into a prime (2162063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762 + ... + 2214.

22162064 is an apocalyptic number.

2162064 is a gapful number since it is divisible by the number (24) 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 2162064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884736).

2162064 is an abundant number, since it is smaller than the sum of its proper divisors (3607408).

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

2162064 is a wasteful number, since it uses less digits than its factorization.

2162064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2162064 is about 1470.3958650649. The cubic root of 2162064 is about 129.3072419350.

Adding to 2162064 its reverse (4602612), we get a palindrome (6764676).

The spelling of 2162064 in words is "two million, one hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1453 1488 2906 4359 5812 8718 11624 17436 23248 34872 45043 69744 90086 135129 180172 270258 360344 540516 720688 1081032 2162064