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20131408 = 24111071069
BaseRepresentation
bin100110011001…
…0111001010000
31101212210002201
41030302321100
520123201113
61555252544
7333054103
oct114627120
941783081
1020131408
1110400030
1268aa154
13422b19b
14296073a
151b79cdd
hex1332e50

20131408 has 40 divisors (see below), whose sum is σ = 42988320. Its totient is φ = 9056640.

The previous prime is 20131399. The next prime is 20131427. The reversal of 20131408 is 80413102.

It is a congruent number.

It is an unprimeable number.

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, 18298 + ... + 19366.

It is an arithmetic number, because the mean of its divisors is an integer number (1074708).

Almost surely, 220131408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494160).

20131408 is an abundant number, since it is smaller than the sum of its proper divisors (22856912).

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

20131408 is a wasteful number, since it uses less digits than its factorization.

20131408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 20131408 is about 4486.8037621452. The cubic root of 20131408 is about 272.0349580213.

The spelling of 20131408 in words is "twenty million, one hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 1069 1177 1712 2138 2354 4276 4708 8552 9416 11759 17104 18832 23518 47036 94072 114383 188144 228766 457532 915064 1258213 1830128 2516426 5032852 10065704 20131408