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2068596 = 2232371553
BaseRepresentation
bin111111001000001110100
310220002120200
413321001310
51012143341
6112200500
723403615
oct7710164
93802520
102068596
111193192
12839130
1357572a
143bbc0c
152acdb6
hex1f9074

2068596 has 36 divisors (see below), whose sum is σ = 5373732. Its totient is φ = 670464.

The previous prime is 2068589. The next prime is 2068607. The reversal of 2068596 is 6958602.

2068596 is a `hidden beast` number, since 2 + 0 + 68 + 596 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1028196 + 1040400 = 1014^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20685962 = 8558178822432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2068596.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 556 + ... + 2108.

22068596 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 2068596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686866).

2068596 is an abundant number, since it is smaller than the sum of its proper divisors (3305136).

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

2068596 is a wasteful number, since it uses less digits than its factorization.

2068596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2068596 is about 1438.2614505020. The cubic root of 2068596 is about 127.4163696089.

The spelling of 2068596 in words is "two million, sixty-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1553 3106 4659 6212 9318 13977 18636 27954 55908 57461 114922 172383 229844 344766 517149 689532 1034298 2068596