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2985696 = 253271481
BaseRepresentation
bin1011011000111011100000
312121200121100
423120323200
51231020241
6143554400
734243440
oct13307340
95550540
102985696
11175a21a
12bbba00
13806cac
1457a120
153de9b6
hex2d8ee0

2985696 has 72 divisors (see below), whose sum is σ = 9710064. Its totient is φ = 852480.

The previous prime is 2985691. The next prime is 2985701. The reversal of 2985696 is 6965892.

2985696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2985691) and next prime (2985701).

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985691) 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 11 ways as a sum of consecutive naturals, for example, 1276 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (134862).

22985696 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 2985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855032).

2985696 is an abundant number, since it is smaller than the sum of its proper divisors (6724368).

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

2985696 is a wasteful number, since it uses less digits than its factorization.

2985696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1493 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2985696 is about 1727.9166646572. The cubic root of 2985696 is about 143.9953702215.

The spelling of 2985696 in words is "two million, nine hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1481 2016 2962 4443 5924 8886 10367 11848 13329 17772 20734 23696 26658 31101 35544 41468 47392 53316 62202 71088 82936 93303 106632 124404 142176 165872 186606 213264 248808 331744 373212 426528 497616 746424 995232 1492848 2985696