Search a number
-
+
2055984 = 243729211
BaseRepresentation
bin111110101111100110000
310212110021120
413311330300
51011242414
6112022240
723322060
oct7657460
93773246
102055984
111184767
12831980
1356ca78
143b73a0
152a92a9
hex1f5f30

2055984 has 80 divisors (see below), whose sum is σ = 6309120. Its totient is φ = 564480.

The previous prime is 2055961. The next prime is 2056001. The reversal of 2055984 is 4895502.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9639 + ... + 9849.

It is an arithmetic number, because the mean of its divisors is an integer number (78864).

22055984 is an apocalyptic number.

2055984 is a gapful number since it is divisible by the number (24) 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 2055984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154560).

2055984 is an abundant number, since it is smaller than the sum of its proper divisors (4253136).

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

2055984 is a wasteful number, since it uses less digits than its factorization.

2055984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2055984 is about 1433.8702870204. The cubic root of 2055984 is about 127.1568937437.

The spelling of 2055984 in words is "two million, fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 211 232 336 348 406 422 464 609 633 696 812 844 1218 1266 1392 1477 1624 1688 2436 2532 2954 3248 3376 4431 4872 5064 5908 6119 8862 9744 10128 11816 12238 17724 18357 23632 24476 35448 36714 42833 48952 70896 73428 85666 97904 128499 146856 171332 256998 293712 342664 513996 685328 1027992 2055984