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13142024 = 237331709
BaseRepresentation
bin110010001000…
…100000001000
3220201200110122
4302020200020
511331021044
61145402412
7216463640
oct62104010
926650418
1013142024
117466885
124499408
132951a5c
141a61520
151248dee
hexc88808

13142024 has 32 divisors (see below), whose sum is σ = 28286400. Its totient is φ = 5607360.

The previous prime is 13142011. The next prime is 13142027. The reversal of 13142024 is 42024131.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 13141993 and 13142011.

It is not an unprimeable number, because it can be changed into a prime (13142027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18182 + ... + 18890.

It is an arithmetic number, because the mean of its divisors is an integer number (883950).

Almost surely, 213142024 is an apocalyptic number.

13142024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13142024 is an abundant number, since it is smaller than the sum of its proper divisors (15144376).

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

13142024 is a wasteful number, since it uses less digits than its factorization.

13142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 13142024 is about 3625.1929603816. The cubic root of 13142024 is about 235.9866410134.

Adding to 13142024 its reverse (42024131), we get a palindrome (55166155).

The spelling of 13142024 in words is "thirteen million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 331 662 709 1324 1418 2317 2648 2836 4634 4963 5672 9268 9926 18536 19852 39704 234679 469358 938716 1642753 1877432 3285506 6571012 13142024