Search a number
-
+
2161248 = 25347479
BaseRepresentation
bin1000001111101001100000
311001210200020
420033221200
51023124443
6114153440
724241005
oct10175140
94053606
102161248
111246861
12882880
135a895b
144038ac
152ca583
hex20fa60

2161248 has 48 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 703616.

The previous prime is 2161213. The next prime is 2161253. The reversal of 2161248 is 8421612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4273 + ... + 4751.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22161248 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 2161248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2161248 is an abundant number, since it is smaller than the sum of its proper divisors (3644832).

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

2161248 is a wasteful number, since it uses less digits than its factorization.

2161248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2161248 is about 1470.1183625817. The cubic root of 2161248 is about 129.2909722985.

The spelling of 2161248 in words is "two million, one hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 479 564 752 958 1128 1437 1504 1916 2256 2874 3832 4512 5748 7664 11496 15328 22513 22992 45026 45984 67539 90052 135078 180104 270156 360208 540312 720416 1080624 2161248