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2595940 = 225315379
BaseRepresentation
bin1001111001110001100100
311212212221221
421321301210
51131032230
6131350124
731031224
oct11716144
94785857
102595940
111513406
12a52344
136cb779
144b8084
1536427a
hex279c64

2595940 has 48 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 973440.

The previous prime is 2595937. The next prime is 2595947. The reversal of 2595940 is 495952.

2595940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2595896 and 2595905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2595947) 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, 32821 + ... + 32899.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22595940 is an apocalyptic number.

2595940 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 2595940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2595940 is an abundant number, since it is smaller than the sum of its proper divisors (3210140).

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

2595940 is a wasteful number, since it uses less digits than its factorization.

2595940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 2595940 is about 1611.1921052438. The cubic root of 2595940 is about 137.4352753224.

The spelling of 2595940 in words is "two million, five hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 53 62 79 106 124 155 158 212 265 310 316 395 530 620 790 1060 1580 1643 2449 3286 4187 4898 6572 8215 8374 9796 12245 16430 16748 20935 24490 32860 41870 48980 83740 129797 259594 519188 648985 1297970 2595940