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132312440 = 23513254447
BaseRepresentation
bin1111110001011…
…10110101111000
3100012222011112202
413320232311320
5232332444230
621043525332
73164431361
oct770566570
9305864482
10132312440
1168761327
1238389848
13215481b0
1413802b68
15b938a45
hex7e2ed78

132312440 has 32 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 48853632.

The previous prime is 132312437. The next prime is 132312443. The reversal of 132312440 is 44213231.

It is an interprime number because it is at equal distance from previous prime (132312437) and next prime (132312443).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126704 + ... + 127743.

It is an arithmetic number, because the mean of its divisors is an integer number (10018890).

Almost surely, 2132312440 is an apocalyptic number.

132312440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132312440 is an abundant number, since it is smaller than the sum of its proper divisors (188292040).

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

132312440 is a wasteful number, since it uses less digits than its factorization.

132312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254471 (or 254467 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132312440 is about 11502.7144622476. The cubic root of 132312440 is about 509.5657459435.

Adding to 132312440 its reverse (44213231), we get a palindrome (176525671).

The spelling of 132312440 in words is "one hundred thirty-two million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 254447 508894 1017788 1272235 2035576 2544470 3307811 5088940 6615622 10177880 13231244 16539055 26462488 33078110 66156220 132312440