Search a number
-
+
2081232 = 243297149
BaseRepresentation
bin111111100000111010000
310220201220200
413330013100
51013044412
6112335200
723455506
oct7740720
93821820
102081232
1111a172a
12844500
1357b3ca
143c2676
152b19dc
hex1fc1d0

2081232 has 60 divisors (see below), whose sum is σ = 5924100. Its totient is φ = 681984.

The previous prime is 2081171. The next prime is 2081237. The reversal of 2081232 is 2321802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 1527696 = 744^2 + 1236^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13894 + ... + 14042.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

22081232 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 2081232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962050).

2081232 is an abundant number, since it is smaller than the sum of its proper divisors (3842868).

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

2081232 is a wasteful number, since it uses less digits than its factorization.

2081232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2081232 is about 1442.6475661089. The cubic root of 2081232 is about 127.6752837122.

The spelling of 2081232 in words is "two million, eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 149 194 291 298 388 447 582 596 776 873 894 1164 1192 1341 1552 1746 1788 2328 2384 2682 3492 3576 4656 5364 6984 7152 10728 13968 14453 21456 28906 43359 57812 86718 115624 130077 173436 231248 260154 346872 520308 693744 1040616 2081232