Search a number
-
+
2081772 = 2232711751
BaseRepresentation
bin111111100001111101100
310220202122200
413330033230
51013104042
6112341500
723460210
oct7741754
93822580
102081772
1111a2080
12844890
1357b724
143c2940
152b1c4c
hex1fc3ec

2081772 has 72 divisors (see below), whose sum is σ = 6569472. Its totient is φ = 540000.

The previous prime is 2081749. The next prime is 2081777. The reversal of 2081772 is 2771802.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2081777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2397 + ... + 3147.

22081772 is an apocalyptic number.

2081772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284736).

2081772 is an abundant number, since it is smaller than the sum of its proper divisors (4487700).

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

2081772 is a wasteful number, since it uses less digits than its factorization.

2081772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2081772 is about 1442.8347098680. The cubic root of 2081772 is about 127.6863250395.

The spelling of 2081772 in words is "two million, eighty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 751 924 1386 1502 2253 2772 3004 4506 5257 6759 8261 9012 10514 13518 15771 16522 21028 24783 27036 31542 33044 47313 49566 57827 63084 74349 94626 99132 115654 148698 173481 189252 231308 297396 346962 520443 693924 1040886 2081772