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2774016 = 21032743
BaseRepresentation
bin1010100101010000000000
312012221020100
422211100000
51202232031
6135242400
732402340
oct12452000
95187210
102774016
111625183
12b19400
1376183b
14522d20
1539bde6
hex2a5400

2774016 has 132 divisors (see below), whose sum is σ = 9367072. Its totient is φ = 774144.

The previous prime is 2774011. The next prime is 2774027. The reversal of 2774016 is 6104772.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2774011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64491 + ... + 64533.

22774016 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 2774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683536).

2774016 is an abundant number, since it is smaller than the sum of its proper divisors (6593056).

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

2774016 is a wasteful number, since it uses less digits than its factorization.

2774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2774016 is about 1665.5377509982. The cubic root of 2774016 is about 140.5086260920.

Adding to 2774016 its reverse (6104772), we get a palindrome (8878788).

The spelling of 2774016 in words is "two million, seven hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 64 72 84 86 96 112 126 128 129 144 168 172 192 224 252 256 258 288 301 336 344 384 387 448 504 512 516 576 602 672 688 768 774 896 903 1008 1024 1032 1152 1204 1344 1376 1536 1548 1792 1806 2016 2064 2304 2408 2688 2709 2752 3072 3096 3584 3612 4032 4128 4608 4816 5376 5418 5504 6192 7168 7224 8064 8256 9216 9632 10752 10836 11008 12384 14448 16128 16512 19264 21504 21672 22016 24768 28896 32256 33024 38528 43344 44032 49536 57792 64512 66048 77056 86688 99072 115584 132096 154112 173376 198144 231168 308224 346752 396288 462336 693504 924672 1387008 2774016