Search a number
-
+
2075616 = 25327207
BaseRepresentation
bin111111010101111100000
310220110012200
413322233200
51012404431
6112253200
723433234
oct7725740
93813180
102075616
111198494
12841200
1357899a
143c05c4
152aeee6
hex1fabe0

2075616 has 36 divisors (see below), whose sum is σ = 5903352. Its totient is φ = 691776.

The previous prime is 2075611. The next prime is 2075621. The reversal of 2075616 is 6165702.

It is an interprime number because it is at equal distance from previous prime (2075611) and next prime (2075621).

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2075616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075611) 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 5 ways as a sum of consecutive naturals, for example, 3316 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (163982).

22075616 is an apocalyptic number.

It is an amenable number.

2075616 is an abundant number, since it is smaller than the sum of its proper divisors (3827736).

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

2075616 is a wasteful number, since it uses less digits than its factorization.

2075616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2075616 is about 1440.6998299438. The cubic root of 2075616 is about 127.5603405276.

The spelling of 2075616 in words is "two million, seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7207 14414 21621 28828 43242 57656 64863 86484 115312 129726 172968 230624 259452 345936 518904 691872 1037808 2075616