Search a number
-
+
2067540 = 2235172027
BaseRepresentation
bin111111000110001010100
310220001010120
413320301110
51012130130
6112151540
723400546
oct7706124
93801116
102067540
111192412
128385b0
135750c7
143bb696
152ac910
hex1f8c54

2067540 has 48 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 518656.

The previous prime is 2067529. The next prime is 2067547. The reversal of 2067540 is 457602.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2067540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

22067540 is an apocalyptic number.

2067540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2067540 is an abundant number, since it is smaller than the sum of its proper divisors (4065132).

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

2067540 is a wasteful number, since it uses less digits than its factorization.

2067540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2067540 is about 1437.8942937504. The cubic root of 2067540 is about 127.3946842744.

The spelling of 2067540 in words is "two million, sixty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2027 4054 6081 8108 10135 12162 20270 24324 30405 34459 40540 60810 68918 103377 121620 137836 172295 206754 344590 413508 516885 689180 1033770 2067540