Search a number
-
+
2097568 = 251159101
BaseRepresentation
bin1000000000000110100000
310221120022201
420000012200
51014110233
6112542544
723554234
oct10000640
93846281
102097568
111202a30
12851a54
13585985
143c85c4
152b677d
hex2001a0

2097568 has 48 divisors (see below), whose sum is σ = 4626720. Its totient is φ = 928000.

The previous prime is 2097559. The next prime is 2097593. The reversal of 2097568 is 8657902.

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, 20718 + ... + 20818.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

22097568 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 2097568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360).

2097568 is an abundant number, since it is smaller than the sum of its proper divisors (2529152).

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

2097568 is a wasteful number, since it uses less digits than its factorization.

2097568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2097568 is about 1448.2983118129. The cubic root of 2097568 is about 128.0084629821.

It can be divided in two parts, 209756 and 8, that added together give a square (209764 = 4582).

The spelling of 2097568 in words is "two million, ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 101 118 176 202 236 352 404 472 649 808 944 1111 1298 1616 1888 2222 2596 3232 4444 5192 5959 8888 10384 11918 17776 20768 23836 35552 47672 65549 95344 131098 190688 262196 524392 1048784 2097568