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2068192 = 25721319
BaseRepresentation
bin111111000111011100000
310220002000201
413320323200
51012140232
6112154544
723402500
oct7707340
93802021
102068192
111192955
12838a54
135754a9
143bba00
152acbe7
hex1f8ee0

2068192 has 36 divisors (see below), whose sum is σ = 4740120. Its totient is φ = 885696.

The previous prime is 2068151. The next prime is 2068201. The reversal of 2068192 is 2918602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2068192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909 + ... + 2227.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

22068192 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 2068192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370060).

2068192 is an abundant number, since it is smaller than the sum of its proper divisors (2671928).

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

2068192 is a wasteful number, since it uses less digits than its factorization.

2068192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2068192 is about 1438.1209963004. The cubic root of 2068192 is about 127.4080741974.

The spelling of 2068192 in words is "two million, sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1319 1568 2638 5276 9233 10552 18466 21104 36932 42208 64631 73864 129262 147728 258524 295456 517048 1034096 2068192