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13034142 = 2331121943
BaseRepresentation
bin110001101110…
…001010011110
3220112012111000
4301232022132
511314043032
61143211130
7215534262
oct61561236
926465430
1013034142
1173a2820
124446aa6
132914914
141a340a2
151226e7c
hexc6e29e

13034142 has 32 divisors (see below), whose sum is σ = 31599360. Its totient is φ = 3949560.

The previous prime is 13034141. The next prime is 13034143. The reversal of 13034142 is 24143031.

It is an interprime number because it is at equal distance from previous prime (13034141) and next prime (13034143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10378 + ... + 11565.

It is an arithmetic number, because the mean of its divisors is an integer number (987480).

Almost surely, 213034142 is an apocalyptic number.

13034142 is an abundant number, since it is smaller than the sum of its proper divisors (18565218).

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

13034142 is a wasteful number, since it uses less digits than its factorization.

13034142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21965 (or 21959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13034142 is about 3610.2828144066. The cubic root of 13034142 is about 235.3391331103.

Adding to 13034142 its reverse (24143031), we get a palindrome (37177173).

Subtracting 13034142 from its reverse (24143031), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1303 and 4142, that added together give a palindrome (5445).

The spelling of 13034142 in words is "thirteen million, thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 21943 43886 65829 131658 197487 241373 394974 482746 592461 724119 1184922 1448238 2172357 4344714 6517071 13034142