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2038113 = 3271117173
BaseRepresentation
bin111110001100101100001
310211112202200
413301211201
51010204423
6111403413
723216010
oct7614541
93745680
102038113
1111722a0
12823569
135648ac
143b0a77
152a3d43
hex1f1961

2038113 has 48 divisors (see below), whose sum is σ = 3908736. Its totient is φ = 990720.

The previous prime is 2038103. The next prime is 2038117. The reversal of 2038113 is 3118302.

It is not a de Polignac number, because 2038113 - 28 = 2037857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2038117) 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 47 ways as a sum of consecutive naturals, for example, 11695 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (81432).

22038113 is an apocalyptic number.

It is an amenable number.

2038113 is a deficient number, since it is larger than the sum of its proper divisors (1870623).

2038113 is a wasteful number, since it uses less digits than its factorization.

2038113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2038113 is about 1427.6249507486. The cubic root of 2038113 is about 126.7873972023.

The spelling of 2038113 in words is "two million, thirty-eight thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 173 187 231 357 519 561 693 1071 1211 1309 1557 1683 1903 2941 3633 3927 5709 8823 10899 11781 13321 17127 20587 26469 32351 39963 61761 97053 119889 185283 226457 291159 679371 2038113