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2074016 = 25747197
BaseRepresentation
bin111111010010110100000
310220101000102
413322112200
51012332031
6112241532
723425460
oct7722640
93811012
102074016
11119726a
128402a8
13578039
143bdba0
152ae7cb
hex1fa5a0

2074016 has 48 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 865536.

The previous prime is 2073997. The next prime is 2074031. The reversal of 2074016 is 6104702.

2074016 = T35 + T36 + ... + T231.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10430 + ... + 10626.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

22074016 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 2074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

2074016 is an abundant number, since it is smaller than the sum of its proper divisors (2716000).

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

2074016 is a wasteful number, since it uses less digits than its factorization.

2074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2074016 is about 1440.1444372007. The cubic root of 2074016 is about 127.5275552388.

Adding to 2074016 its reverse (6104702), we get a palindrome (8178718).

The spelling of 2074016 in words is "two million, seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 197 224 329 376 394 658 752 788 1316 1379 1504 1576 2632 2758 3152 5264 5516 6304 9259 10528 11032 18518 22064 37036 44128 64813 74072 129626 148144 259252 296288 518504 1037008 2074016