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2013408 = 25326991
BaseRepresentation
bin111101011100011100000
310210021212200
413223203200
51003412113
6111053200
723053665
oct7534340
93707780
102013408
111155781
12811200
13556587
143a5a6c
1529b873
hex1eb8e0

2013408 has 36 divisors (see below), whose sum is σ = 5726448. Its totient is φ = 671040.

The previous prime is 2013391. The next prime is 2013409. The reversal of 2013408 is 8043102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013409) 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 5 ways as a sum of consecutive naturals, for example, 3208 + ... + 3783.

It is an arithmetic number, because the mean of its divisors is an integer number (159068).

22013408 is an apocalyptic number.

It is an amenable number.

2013408 is an abundant number, since it is smaller than the sum of its proper divisors (3713040).

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

2013408 is a wasteful number, since it uses less digits than its factorization.

2013408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 6996 counting only the distinct ones).

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

The square root of 2013408 is about 1418.9460877708. The cubic root of 2013408 is about 126.2730285085.

The spelling of 2013408 in words is "two million, thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6991 13982 20973 27964 41946 55928 62919 83892 111856 125838 167784 223712 251676 335568 503352 671136 1006704 2013408