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2870064 = 2432191049
BaseRepresentation
bin1010111100101100110000
312101210222200
422330230300
51213320224
6141303200
733252351
oct12745460
95353880
102870064
11169035a
12b64b00
13796482
14549d28
153ba5c9
hex2bcb30

2870064 has 60 divisors (see below), whose sum is σ = 8463000. Its totient is φ = 905472.

The previous prime is 2870051. The next prime is 2870081. The reversal of 2870064 is 4600782.

2870064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 2212 + ... + 3260.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

22870064 is an apocalyptic number.

2870064 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 2870064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231500).

2870064 is an abundant number, since it is smaller than the sum of its proper divisors (5592936).

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

2870064 is a wasteful number, since it uses less digits than its factorization.

2870064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2870064 is about 1694.1263235072. The cubic root of 2870064 is about 142.1119265665. Note that the first 3 decimals are identical.

The spelling of 2870064 in words is "two million, eight hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1049 1368 2098 2736 3147 4196 6294 8392 9441 12588 16784 18882 19931 25176 37764 39862 50352 59793 75528 79724 119586 151056 159448 179379 239172 318896 358758 478344 717516 956688 1435032 2870064