Search a number
-
+
2161152 = 2932767
BaseRepresentation
bin1000001111101000000000
311001210112200
420033220000
51023124102
6114153200
724240510
oct10175000
94053480
102161152
111246784
12882800
135a88b6
14403840
152ca51c
hex20fa00

2161152 has 120 divisors (see below), whose sum is σ = 7234656. Its totient is φ = 608256.

The previous prime is 2161141. The next prime is 2161157. The reversal of 2161152 is 2511612.

2161152 is a `hidden beast` number, since 2 + 1 + 611 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2161157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32223 + ... + 32289.

22161152 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 2161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617328).

2161152 is an abundant number, since it is smaller than the sum of its proper divisors (5073504).

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

2161152 is an equidigital number, since it uses as much as digits as its factorization.

2161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2161152 is about 1470.0857117869. The cubic root of 2161152 is about 129.2890579544.

Adding to 2161152 its reverse (2511612), we get a palindrome (4672764).

It can be divided in two parts, 216 and 1152, that multiplied together give a 5-th power (248832 = 125).

The spelling of 2161152 in words is "two million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 67 72 84 96 112 126 128 134 144 168 192 201 224 252 256 268 288 336 384 402 448 469 504 512 536 576 603 672 768 804 896 938 1008 1072 1152 1206 1344 1407 1536 1608 1792 1876 2016 2144 2304 2412 2688 2814 3216 3584 3752 4032 4221 4288 4608 4824 5376 5628 6432 7504 8064 8442 8576 9648 10752 11256 12864 15008 16128 16884 17152 19296 22512 25728 30016 32256 33768 34304 38592 45024 51456 60032 67536 77184 90048 102912 120064 135072 154368 180096 240128 270144 308736 360192 540288 720384 1080576 2161152