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2001696 = 25329719
BaseRepresentation
bin111101000101100100000
310202200210220
413220230200
51003023241
6110523040
723004564
oct7505440
93680726
102001696
1111479a4
12806480
13551148
143a16a4
15298166
hex1e8b20

2001696 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 643328.

The previous prime is 2001691. The next prime is 2001697. The reversal of 2001696 is 6961002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2425 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22001696 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 2001696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2001696 is an abundant number, since it is smaller than the sum of its proper divisors (3441504).

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

2001696 is a wasteful number, since it uses less digits than its factorization.

2001696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2001696 is about 1414.8130618566. The cubic root of 2001696 is about 126.0277086957.

Adding to 2001696 its reverse (6961002), we get a palindrome (8962698).

The spelling of 2001696 in words is "two million, one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 719 928 1392 1438 2157 2784 2876 4314 5752 8628 11504 17256 20851 23008 34512 41702 62553 69024 83404 125106 166808 250212 333616 500424 667232 1000848 2001696