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13142436 = 2231517253
BaseRepresentation
bin110010001000…
…100110100100
3220201201000220
4302020212210
511331024221
61145404340
7216465066
oct62104644
926651026
1013142436
11746711a
1244996b0
132951cb8
141a61736
1512490c6
hexc889a4

13142436 has 24 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 4351200.

The previous prime is 13142431. The next prime is 13142443. The reversal of 13142436 is 63424131.

It is a super-3 number, since 3×131424363 (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142431) 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, 1815 + ... + 5438.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 213142436 is an apocalyptic number.

It is an amenable number.

13142436 is an abundant number, since it is smaller than the sum of its proper divisors (17730588).

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

13142436 is a wasteful number, since it uses less digits than its factorization.

13142436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411 (or 7409 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 13142436 is about 3625.2497844976. The cubic root of 13142436 is about 235.9891070334.

Adding to 13142436 its reverse (63424131), we get a palindrome (76566567).

The spelling of 13142436 in words is "thirteen million, one hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 151 302 453 604 906 1812 7253 14506 21759 29012 43518 87036 1095203 2190406 3285609 4380812 6571218 13142436