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132424540 = 2257983813
BaseRepresentation
bin1111110010010…
…10001101011100
3100020011212022121
413321022031130
5232400041130
621050152324
73165406243
oct771121534
9306155277
10132424540
1168828576
12384226a4
1321587221
141383195a
15b95bd7a
hex7e4a35c

132424540 has 24 divisors (see below), whose sum is σ = 281615040. Its totient is φ = 52298688.

The previous prime is 132424507. The next prime is 132424541. The reversal of 132424540 is 45424231.

It is a happy number.

132424540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132424541) 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, 40327 + ... + 43486.

It is an arithmetic number, because the mean of its divisors is an integer number (11733960).

Almost surely, 2132424540 is an apocalyptic number.

132424540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132424540 is an abundant number, since it is smaller than the sum of its proper divisors (149190500).

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

132424540 is a wasteful number, since it uses less digits than its factorization.

132424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83901 (or 83899 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 132424540 is about 11507.5861934639. The cubic root of 132424540 is about 509.7096129794.

Adding to 132424540 its reverse (45424231), we get a palindrome (177848771).

The spelling of 132424540 in words is "one hundred thirty-two million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 83813 167626 335252 419065 838130 1676260 6621227 13242454 26484908 33106135 66212270 132424540