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132411420 = 223251634513
BaseRepresentation
bin1111110010001…
…11000000011100
3100020011012022200
413321013000130
5232344131140
621050011500
73165323061
oct771070034
9306135280
10132411420
1168819729
1238416b90
132158126b
141382ac68
15b958030
hex7e4701c

132411420 has 72 divisors (see below), whose sum is σ = 404201616. Its totient is φ = 35085312.

The previous prime is 132411401. The next prime is 132411431. The reversal of 132411420 is 24114231.

132411420 is a `hidden beast` number, since 1 + 3 + 241 + 1 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132411393 and 132411402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27084 + ... + 31596.

Almost surely, 2132411420 is an apocalyptic number.

132411420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202100808).

132411420 is an abundant number, since it is smaller than the sum of its proper divisors (271790196).

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

132411420 is a wasteful number, since it uses less digits than its factorization.

132411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132411420 is about 11507.0161206109. The cubic root of 132411420 is about 509.6927792138.

Adding to 132411420 its reverse (24114231), we get a palindrome (156525651).

The spelling of 132411420 in words is "one hundred thirty-two million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4513 4890 5868 7335 9026 9780 13539 14670 18052 22565 27078 29340 40617 45130 54156 67695 81234 90260 135390 162468 203085 270780 406170 735619 812340 1471238 2206857 2942476 3678095 4413714 6620571 7356190 8827428 11034285 13241142 14712380 22068570 26482284 33102855 44137140 66205710 132411420