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2048013 = 3211137151
BaseRepresentation
bin111110100000000001101
310212001100100
413310000031
51011014023
6111521313
723256612
oct7640015
93761310
102048013
111179780
12829239
13569256
143b4509
152a6c43
hex1f400d

2048013 has 24 divisors (see below), whose sum is σ = 3272256. Its totient is φ = 1224000.

The previous prime is 2048003. The next prime is 2048017. The reversal of 2048013 is 3108402.

It is a happy number.

It is not a de Polignac number, because 2048013 - 29 = 2047501 is a prime.

2048013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13488 + ... + 13638.

It is an arithmetic number, because the mean of its divisors is an integer number (136344).

22048013 is an apocalyptic number.

It is an amenable number.

2048013 is a deficient number, since it is larger than the sum of its proper divisors (1224243).

2048013 is a wasteful number, since it uses less digits than its factorization.

2048013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2048013 is about 1431.0880476057. The cubic root of 2048013 is about 126.9923528576.

The spelling of 2048013 in words is "two million, forty-eight thousand, thirteen".

Divisors: 1 3 9 11 33 99 137 151 411 453 1233 1359 1507 1661 4521 4983 13563 14949 20687 62061 186183 227557 682671 2048013