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2134656 = 273217109
BaseRepresentation
bin1000001001001010000000
311000110012100
420021022000
51021302111
6113430400
724100326
oct10111200
94013170
102134656
111228887
1286b400
13599814
143d7d16
152c2756
hex209280

2134656 has 96 divisors (see below), whose sum is σ = 6563700. Its totient is φ = 663552.

The previous prime is 2134637. The next prime is 2134697. The reversal of 2134656 is 6564312.

2134656 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 656 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 129600 = 1416^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19530 + ... + 19638.

22134656 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 2134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281850).

2134656 is an abundant number, since it is smaller than the sum of its proper divisors (4429044).

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

2134656 is a wasteful number, since it uses less digits than its factorization.

2134656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2134656 is about 1461.0462005015. The cubic root of 2134656 is about 128.7585170474.

Adding to 2134656 its reverse (6564312), we get a palindrome (8698968).

The spelling of 2134656 in words is "two million, one hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 109 128 136 144 153 192 204 218 272 288 306 327 384 408 436 544 576 612 654 816 872 981 1088 1152 1224 1308 1632 1744 1853 1962 2176 2448 2616 3264 3488 3706 3924 4896 5232 5559 6528 6976 7412 7848 9792 10464 11118 13952 14824 15696 16677 19584 20928 22236 29648 31392 33354 41856 44472 59296 62784 66708 88944 118592 125568 133416 177888 237184 266832 355776 533664 711552 1067328 2134656