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2013288 = 233149563
BaseRepresentation
bin111101011100001101000
310210021201020
413223201220
51003411123
6111052440
723053434
oct7534150
93707636
102013288
111155682
12811120
135564c4
143a59c4
1529b7e3
hex1eb868

2013288 has 32 divisors (see below), whose sum is σ = 5076000. Its totient is φ = 665408.

The previous prime is 2013287. The next prime is 2013289. The reversal of 2013288 is 8823102.

It is an interprime number because it is at equal distance from previous prime (2013287) and next prime (2013289).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2013287) by changing a digit.

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, 3295 + ... + 3857.

It is an arithmetic number, because the mean of its divisors is an integer number (158625).

22013288 is an apocalyptic number.

It is an amenable number.

2013288 is an abundant number, since it is smaller than the sum of its proper divisors (3062712).

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

2013288 is a wasteful number, since it uses less digits than its factorization.

2013288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2013288 is about 1418.9038022361. The cubic root of 2013288 is about 126.2705198160.

The spelling of 2013288 in words is "two million, thirteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 149 298 447 563 596 894 1126 1192 1689 1788 2252 3378 3576 4504 6756 13512 83887 167774 251661 335548 503322 671096 1006644 2013288