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132311340 = 223357172971
BaseRepresentation
bin1111110001011…
…10100100101100
3100012222010001000
413320232210230
5232332430330
621043520300
73164425230
oct770564454
9305863030
10132311340
1168760517
1238389090
1321547845
14138025c0
15b938560
hex7e2e92c

132311340 has 384 divisors, whose sum is σ = 522547200. Its totient is φ = 27095040.

The previous prime is 132311339. The next prime is 132311359. The reversal of 132311340 is 43113231.

132311340 is a `hidden beast` number, since 1 + 323 + 1 + 1 + 340 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1863505 + ... + 1863575.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2132311340 is an apocalyptic number.

132311340 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 132311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

132311340 is an abundant number, since it is smaller than the sum of its proper divisors (390235860).

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

132311340 is a wasteful number, since it uses less digits than its factorization.

132311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132311340 is about 11502.6666473475. Note that the first 4 decimals coincide. The cubic root of 132311340 is about 509.5643338216.

Adding to 132311340 its reverse (43113231), we get a palindrome (175424571).

It can be divided in two parts, 132311 and 340, that added together give a cube (132651 = 513).

The spelling of 132311340 in words is "one hundred thirty-two million, three hundred eleven thousand, three hundred forty".