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132126636 = 22313780369
BaseRepresentation
bin1111110000000…
…01011110101100
3100012121201200010
413320001132230
5232311023021
621035533220
73163025565
oct770013654
9305551603
10132126636
1168644774
12382ba210
13214b1755
141379516c
15b8ed976
hex7e017ac

132126636 has 24 divisors (see below), whose sum is σ = 310549680. Its totient is φ = 43720192.

The previous prime is 132126623. The next prime is 132126637. The reversal of 132126636 is 636621231.

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

It is not an unprimeable number, because it can be changed into a prime (132126637) 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, 38541 + ... + 41828.

It is an arithmetic number, because the mean of its divisors is an integer number (12939570).

Almost surely, 2132126636 is an apocalyptic number.

It is an amenable number.

132126636 is an abundant number, since it is smaller than the sum of its proper divisors (178423044).

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

132126636 is a wasteful number, since it uses less digits than its factorization.

132126636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80513 (or 80511 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 132126636 is about 11494.6350964265. The cubic root of 132126636 is about 509.3271095076.

Adding to 132126636 its reverse (636621231), we get a palindrome (768747867).

The spelling of 132126636 in words is "one hundred thirty-two million, one hundred twenty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 1644 80369 160738 241107 321476 482214 964428 11010553 22021106 33031659 44042212 66063318 132126636