Search a number
-
+
2095408 = 24753353
BaseRepresentation
bin111111111100100110000
310221110100201
413333210300
51014023113
6112524544
723545030
oct7774460
93843321
102095408
111201347
12850754
135849b3
143c78c0
152b5cdd
hex1ff930

2095408 has 40 divisors (see below), whose sum is σ = 4740768. Its totient is φ = 878592.

The previous prime is 2095399. The next prime is 2095409. The reversal of 2095408 is 8045902.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2095409) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5760 + ... + 6112.

22095408 is an apocalyptic number.

2095408 is a gapful number since it is divisible by the number (28) 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 2095408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370384).

2095408 is an abundant number, since it is smaller than the sum of its proper divisors (2645360).

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

2095408 is a wasteful number, since it uses less digits than its factorization.

2095408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2095408 is about 1447.5524170129. The cubic root of 2095408 is about 127.9645083890.

The spelling of 2095408 in words is "two million, ninety-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 353 371 424 706 742 848 1412 1484 2471 2824 2968 4942 5648 5936 9884 18709 19768 37418 39536 74836 130963 149672 261926 299344 523852 1047704 2095408