Search a number
-
+
2053296 = 24337297
BaseRepresentation
bin111110101010010110000
310212022121000
413311102300
51011201141
6112002000
723311200
oct7652260
93768530
102053296
111182743
12830300
1356b78b
143b6400
152a85b6
hex1f54b0

2053296 has 120 divisors (see below), whose sum is σ = 6926640. Its totient is φ = 580608.

The previous prime is 2053291. The next prime is 2053307. The reversal of 2053296 is 6923502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053291) 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 23 ways as a sum of consecutive naturals, for example, 21120 + ... + 21216.

It is an arithmetic number, because the mean of its divisors is an integer number (57722).

22053296 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 2053296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463320).

2053296 is an abundant number, since it is smaller than the sum of its proper divisors (4873344).

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

2053296 is a wasteful number, since it uses less digits than its factorization.

2053296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2053296 is about 1432.9326571755. The cubic root of 2053296 is about 127.1014544675.

Adding to 2053296 its reverse (6923502), we get a palindrome (8976798).

The spelling of 2053296 in words is "two million, fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 97 98 108 112 126 144 147 168 189 194 196 216 252 291 294 336 378 388 392 432 441 504 582 588 679 756 776 784 873 882 1008 1164 1176 1323 1358 1512 1552 1746 1764 2037 2328 2352 2619 2646 2716 3024 3492 3528 4074 4656 4753 5238 5292 5432 6111 6984 7056 8148 9506 10476 10584 10864 12222 13968 14259 16296 18333 19012 20952 21168 24444 28518 32592 36666 38024 41904 42777 48888 57036 73332 76048 85554 97776 114072 128331 146664 171108 228144 256662 293328 342216 513324 684432 1026648 2053296