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2095520 = 25571871
BaseRepresentation
bin111111111100110100000
310221110111212
413333212200
51014024040
6112525252
723545250
oct7774640
93843455
102095520
111201439
12850828
13584a6b
143c7960
152b5d65
hex1ff9a0

2095520 has 48 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 718080.

The previous prime is 2095517. The next prime is 2095523. The reversal of 2095520 is 255902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2095517) and next prime (2095523).

It is not an unprimeable number, because it can be changed into a prime (2095523) 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, 185 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

22095520 is an apocalyptic number.

2095520 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 2095520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2095520 is an abundant number, since it is smaller than the sum of its proper divisors (3565408).

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

2095520 is a wasteful number, since it uses less digits than its factorization.

2095520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2095520 is about 1447.5911024872. The cubic root of 2095520 is about 127.9667882584.

The spelling of 2095520 in words is "two million, ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1871 3742 7484 9355 13097 14968 18710 26194 29936 37420 52388 59872 65485 74840 104776 130970 149680 209552 261940 299360 419104 523880 1047760 2095520