Search a number
-
+
2132256 = 253719167
BaseRepresentation
bin1000001000100100100000
311000022220110
420020210200
51021213011
6113411320
724060330
oct10104440
94008813
102132256
111226aa5
12869b40
135986b9
143d70c0
152c1ba6
hex208920

2132256 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 573696.

The previous prime is 2132239. The next prime is 2132267. The reversal of 2132256 is 6522312.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 12685 + ... + 12851.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22132256 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 2132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2132256 is an abundant number, since it is smaller than the sum of its proper divisors (4641504).

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

2132256 is a wasteful number, since it uses less digits than its factorization.

2132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 2132256 is about 1460.2246402523. The cubic root of 2132256 is about 128.7102444258.

Adding to 2132256 its reverse (6522312), we get a palindrome (8654568).

The spelling of 2132256 in words is "two million, one hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 167 168 224 228 266 304 334 336 399 456 501 532 608 668 672 798 912 1002 1064 1169 1336 1596 1824 2004 2128 2338 2672 3173 3192 3507 4008 4256 4676 5344 6346 6384 7014 8016 9352 9519 12692 12768 14028 16032 18704 19038 22211 25384 28056 37408 38076 44422 50768 56112 66633 76152 88844 101536 112224 133266 152304 177688 266532 304608 355376 533064 710752 1066128 2132256