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2067696 = 243283173
BaseRepresentation
bin111111000110011110000
310220001100100
413320303300
51012131241
6112152400
723401161
oct7706360
93801310
102067696
111192544
12838700
135751b7
143bb768
152ac9b6
hex1f8cf0

2067696 has 60 divisors (see below), whose sum is σ = 5890248. Its totient is φ = 676992.

The previous prime is 2067691. The next prime is 2067697. The reversal of 2067696 is 6967602.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2067696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11866 + ... + 12038.

22067696 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 2067696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945124).

2067696 is an abundant number, since it is smaller than the sum of its proper divisors (3822552).

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

2067696 is a wasteful number, since it uses less digits than its factorization.

2067696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2067696 is about 1437.9485387176. The cubic root of 2067696 is about 127.3978882545.

The spelling of 2067696 in words is "two million, sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 173 249 332 346 498 519 664 692 747 996 1038 1328 1384 1494 1557 1992 2076 2768 2988 3114 3984 4152 5976 6228 8304 11952 12456 14359 24912 28718 43077 57436 86154 114872 129231 172308 229744 258462 344616 516924 689232 1033848 2067696