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13143788 = 2271753521
BaseRepresentation
bin110010001000…
…111011101100
3220201202212222
4302020323230
511331100123
61145414512
7216502040
oct62107354
926652788
1013143788
117468139
12449a438
1329527b8
141a62020
1512496c8
hexc88eec

13143788 has 48 divisors (see below), whose sum is σ = 28413504. Its totient is φ = 5191680.

The previous prime is 13143761. The next prime is 13143799. The reversal of 13143788 is 88734131.

13143788 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

13143788 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24968 + ... + 25488.

It is an arithmetic number, because the mean of its divisors is an integer number (591948).

Almost surely, 213143788 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 13143788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206752).

13143788 is an abundant number, since it is smaller than the sum of its proper divisors (15269716).

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

13143788 is a wasteful number, since it uses less digits than its factorization.

13143788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 600 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 13143788 is about 3625.4362496119. The cubic root of 13143788 is about 235.9971990475.

It can be divided in two parts, 13143 and 788, that added together give a palindrome (13931).

The spelling of 13143788 in words is "thirteen million, one hundred forty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 17 28 34 53 68 106 119 212 238 371 476 521 742 901 1042 1484 1802 2084 3604 3647 6307 7294 8857 12614 14588 17714 25228 27613 35428 55226 61999 110452 123998 193291 247996 386582 469421 773164 938842 1877684 3285947 6571894 13143788