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20013786 = 2321331289
BaseRepresentation
bin100110001011…
…0001011011010
31101122210202100
41030112023122
520110420121
61552544230
7332054142
oct114261332
941583670
1020013786
111032a721
126852076
1341b97a0
14292d922
151b55026
hex13162da

20013786 has 72 divisors (see below), whose sum is σ = 48796020. Its totient is φ = 5892480.

The previous prime is 20013779. The next prime is 20013793. The reversal of 20013786 is 68731002.

It is an interprime number because it is at equal distance from previous prime (20013779) and next prime (20013793).

It can be written as a sum of positive squares in 2 ways, for example, as 17514225 + 2499561 = 4185^2 + 1581^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224830 + ... + 224918.

Almost surely, 220013786 is an apocalyptic number.

20013786 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24398010).

20013786 is an abundant number, since it is smaller than the sum of its proper divisors (28782234).

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

20013786 is a wasteful number, since it uses less digits than its factorization.

20013786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20013786 is about 4473.6770111397. The cubic root of 20013786 is about 271.5041156036.

Adding to 20013786 its reverse (68731002), we get a palindrome (88744788).

The spelling of 20013786 in words is "twenty million, thirteen thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 89 93 117 178 186 234 267 279 403 534 558 801 806 961 1157 1209 1602 1922 2314 2418 2759 2883 3471 3627 5518 5766 6942 7254 8277 8649 10413 12493 16554 17298 20826 24831 24986 35867 37479 49662 71734 74958 85529 107601 112437 171058 215202 224874 256587 322803 513174 645606 769761 1111877 1539522 2223754 3335631 6671262 10006893 20013786