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20131040 = 255472677
BaseRepresentation
bin100110011001…
…0110011100000
31101212202121002
41030302303200
520123143130
61555251132
7333053036
oct114626340
941782532
1020131040
11103aa826
1268a9aa8
13422ac77
142960556
151b79b45
hex1332ce0

20131040 has 48 divisors (see below), whose sum is σ = 48589632. Its totient is φ = 7878144.

The previous prime is 20131031. The next prime is 20131061. The reversal of 20131040 is 4013102.

It is a happy number.

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, 6182 + ... + 8858.

It is an arithmetic number, because the mean of its divisors is an integer number (1012284).

Almost surely, 220131040 is an apocalyptic number.

20131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24294816).

20131040 is an abundant number, since it is smaller than the sum of its proper divisors (28458592).

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

20131040 is a wasteful number, since it uses less digits than its factorization.

20131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 20131040 is about 4486.7627528096. The cubic root of 20131040 is about 272.0333004212.

Adding to 20131040 its reverse (4013102), we get a palindrome (24144142).

The spelling of 20131040 in words is "twenty million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 2677 3760 5354 7520 10708 13385 21416 26770 42832 53540 85664 107080 125819 214160 251638 428320 503276 629095 1006552 1258190 2013104 2516380 4026208 5032760 10065520 20131040