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2095424 = 26291129
BaseRepresentation
bin111111111100101000000
310221110101022
413333211000
51014023144
6112525012
723545052
oct7774500
93843338
102095424
111201361
12850768
135849c6
143c78d2
152b5cee
hex1ff940

2095424 has 28 divisors (see below), whose sum is σ = 4305300. Its totient is φ = 1010688.

The previous prime is 2095409. The next prime is 2095439. The reversal of 2095424 is 4245902.

It is an interprime number because it is at equal distance from previous prime (2095409) and next prime (2095439).

It can be written as a sum of positive squares in 2 ways, for example, as 577600 + 1517824 = 760^2 + 1232^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2095393 and 2095402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1292 + ... + 2420.

22095424 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 2095424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152650).

2095424 is an abundant number, since it is smaller than the sum of its proper divisors (2209876).

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

2095424 is a wasteful number, since it uses less digits than its factorization.

2095424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2095424 is about 1447.5579435726. The cubic root of 2095424 is about 127.9648340896.

The spelling of 2095424 in words is "two million, ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1129 1856 2258 4516 9032 18064 32741 36128 65482 72256 130964 261928 523856 1047712 2095424