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2888064 = 273223109
BaseRepresentation
bin1011000001000110000000
312102201200100
423001012000
51214404224
6141522400
733356004
oct13010600
95381610
102888064
1116a2933
12b73400
137a171a
14552704
153c0ac9
hex2c1180

2888064 has 96 divisors (see below), whose sum is σ = 8751600. Its totient is φ = 912384.

The previous prime is 2888059. The next prime is 2888069. The reversal of 2888064 is 4608882.

It is an interprime number because it is at equal distance from previous prime (2888059) and next prime (2888069).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2888069) 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, 26442 + ... + 26550.

22888064 is an apocalyptic number.

2888064 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 2888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375800).

2888064 is an abundant number, since it is smaller than the sum of its proper divisors (5863536).

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

2888064 is a wasteful number, since it uses less digits than its factorization.

2888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2888064 is about 1699.4304928416. The cubic root of 2888064 is about 142.4083991174.

The spelling of 2888064 in words is "two million, eight hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 109 128 138 144 184 192 207 218 276 288 327 368 384 414 436 552 576 654 736 828 872 981 1104 1152 1308 1472 1656 1744 1962 2208 2507 2616 2944 3312 3488 3924 4416 5014 5232 6624 6976 7521 7848 8832 10028 10464 13248 13952 15042 15696 20056 20928 22563 26496 30084 31392 40112 41856 45126 60168 62784 80224 90252 120336 125568 160448 180504 240672 320896 361008 481344 722016 962688 1444032 2888064