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2136384 = 26323709
BaseRepresentation
bin1000001001100101000000
311000112120100
420021211000
51021331014
6113442400
724105345
oct10114500
94015510
102136384
11122a108
12870400
1359a543
143d87cc
152c3009
hex209940

2136384 has 42 divisors (see below), whose sum is σ = 6125210. Its totient is φ = 711936.

The previous prime is 2136383. The next prime is 2136389. The reversal of 2136384 is 4836312.

It is a happy number.

2136384 is a `hidden beast` number, since 21 + 3 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1617984 + 518400 = 1272^2 + 720^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136383) 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, 1279 + ... + 2430.

22136384 is an apocalyptic number.

2136384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2136384 is an abundant number, since it is smaller than the sum of its proper divisors (3988826).

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

2136384 is a wasteful number, since it uses less digits than its factorization.

2136384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3714 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2136384 is about 1461.6374379442. The cubic root of 2136384 is about 128.7932509355.

The spelling of 2136384 in words is "two million, one hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3709 7418 11127 14836 22254 29672 33381 44508 59344 66762 89016 118688 133524 178032 237376 267048 356064 534096 712128 1068192 2136384