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2136064 = 2117149
BaseRepresentation
bin1000001001100000000000
311000112010111
420021200000
51021323224
6113441104
724104410
oct10114000
94015114
102136064
111229947
12870194
1359a358
143d8640
152c2d94
hex209800

2136064 has 48 divisors (see below), whose sum is σ = 4914000. Its totient is φ = 909312.

The previous prime is 2136061. The next prime is 2136077. The reversal of 2136064 is 4606312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14262 + ... + 14410.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

22136064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457000).

2136064 is an abundant number, since it is smaller than the sum of its proper divisors (2777936).

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

2136064 is an equidigital number, since it uses as much as digits as its factorization.

2136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2136064 is about 1461.5279675737. The cubic root of 2136064 is about 128.7868201475.

The spelling of 2136064 in words is "two million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 256 298 448 512 596 896 1024 1043 1192 1792 2048 2086 2384 3584 4172 4768 7168 8344 9536 14336 16688 19072 33376 38144 66752 76288 133504 152576 267008 305152 534016 1068032 2136064