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2135408 = 241121103
BaseRepresentation
bin1000001001010101110000
311000111020012
420021111300
51021313113
6113434052
724102452
oct10112560
94014205
102135408
111229400
1286b928
13599c72
143d82d2
152c2aa8
hex209570

2135408 has 30 divisors (see below), whose sum is σ = 4551792. Its totient is φ = 969760.

The previous prime is 2135407. The next prime is 2135411. The reversal of 2135408 is 8045312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1385 + ... + 2487.

22135408 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 2135408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275896).

2135408 is an abundant number, since it is smaller than the sum of its proper divisors (2416384).

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

2135408 is a wasteful number, since it uses less digits than its factorization.

2135408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2135408 is about 1461.3035276766. The cubic root of 2135408 is about 128.7736350238.

The spelling of 2135408 in words is "two million, one hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1103 1936 2206 4412 8824 12133 17648 24266 48532 97064 133463 194128 266926 533852 1067704 2135408