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2276064 = 253271129
BaseRepresentation
bin1000101011101011100000
311021122011200
420223223200
51040313224
6120441200
725226520
oct10535340
94248150
102276064
11131504a
12919200
13618cab
14433680
152ee5c9
hex22bae0

2276064 has 72 divisors (see below), whose sum is σ = 7403760. Its totient is φ = 649728.

The previous prime is 2276059. The next prime is 2276077. The reversal of 2276064 is 4606722.

2276064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1452 + ... + 2580.

It is an arithmetic number, because the mean of its divisors is an integer number (102830).

22276064 is an apocalyptic number.

2276064 is a gapful number since it is divisible by the number (24) 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 2276064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701880).

2276064 is an abundant number, since it is smaller than the sum of its proper divisors (5127696).

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

2276064 is a wasteful number, since it uses less digits than its factorization.

2276064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2276064 is about 1508.6629842347. The cubic root of 2276064 is about 131.5411062438.

The spelling of 2276064 in words is "two million, two hundred seventy-six thousand, sixty-four".

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 1129 2016 2258 3387 4516 6774 7903 9032 10161 13548 15806 18064 20322 23709 27096 31612 36128 40644 47418 54192 63224 71127 81288 94836 108384 126448 142254 162576 189672 252896 284508 325152 379344 569016 758688 1138032 2276064