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132440 = 23571143
BaseRepresentation
bin100000010101011000
320201200012
4200111120
513214230
62501052
71061060
oct402530
9221605
10132440
1190560
1264788
1348389
14363a0
1529395
hex20558

132440 has 64 divisors (see below), whose sum is σ = 380160. Its totient is φ = 40320.

The previous prime is 132439. The next prime is 132469. The reversal of 132440 is 44231.

132440 = T56 + T57 + ... + T98.

132440 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059 + ... + 3101.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2132440 is an apocalyptic number.

132440 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 132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080).

132440 is an abundant number, since it is smaller than the sum of its proper divisors (247720).

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

132440 is a wasteful number, since it uses less digits than its factorization.

132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 132440 is about 363.9230687934. The cubic root of 132440 is about 50.9729447682.

Adding to 132440 its reverse (44231), we get a palindrome (176671).

Subtracting from 132440 its reverse (44231), we obtain a square (88209 = 2972).

The spelling of 132440 in words is "one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 43 44 55 56 70 77 86 88 110 140 154 172 215 220 280 301 308 344 385 430 440 473 602 616 770 860 946 1204 1505 1540 1720 1892 2365 2408 3010 3080 3311 3784 4730 6020 6622 9460 12040 13244 16555 18920 26488 33110 66220 132440