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13142394 = 23217291481
BaseRepresentation
bin110010001000…
…100101111010
3220201200222100
4302020211322
511331024034
61145404230
7216465006
oct62104572
926650870
1013142394
117467091
124499676
132951c85
141a61706
151249099
hexc8897a

13142394 has 48 divisors (see below), whose sum is σ = 31210920. Its totient is φ = 3978240.

The previous prime is 13142369. The next prime is 13142401. The reversal of 13142394 is 49324131.

It can be written as a sum of positive squares in 4 ways, for example, as 12215025 + 927369 = 3495^2 + 963^2 .

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 8134 + ... + 9614.

Almost surely, 213142394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605460).

13142394 is an abundant number, since it is smaller than the sum of its proper divisors (18068526).

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

13142394 is a wasteful number, since it uses less digits than its factorization.

13142394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1532 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13142394 is about 3625.2439917887. The cubic root of 13142394 is about 235.9888556453.

The spelling of 13142394 in words is "thirteen million, one hundred forty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 1481 2958 2962 4437 4443 8874 8886 13329 25177 26658 42949 50354 75531 85898 128847 151062 226593 257694 386541 453186 730133 773082 1460266 2190399 4380798 6571197 13142394