Search a number
-
+
2095146 = 237479
BaseRepresentation
bin111111111100000101010
310221110000000
413333200222
51014021041
6112523430
723544204
oct7774052
93843000
102095146
111201129
12850576
13584841
143c7774
152b5bb6
hex1ff82a

2095146 has 32 divisors (see below), whose sum is σ = 4723200. Its totient is φ = 696924.

The previous prime is 2095127. The next prime is 2095151. The reversal of 2095146 is 6415902.

It is a super-2 number, since 2×20951462 = 8779273522632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4135 + ... + 4613.

It is an arithmetic number, because the mean of its divisors is an integer number (147600).

22095146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2095146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361600).

2095146 is an abundant number, since it is smaller than the sum of its proper divisors (2628054).

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

2095146 is an frugal number, since it uses more digits than its factorization.

2095146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2095146 is about 1447.4619165975. The cubic root of 2095146 is about 127.9591748058.

The spelling of 2095146 in words is "two million, ninety-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 479 486 729 958 1437 1458 2187 2874 4311 4374 8622 12933 25866 38799 77598 116397 232794 349191 698382 1047573 2095146