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132285940 = 22527124407
BaseRepresentation
bin1111110001010…
…00010111110100
3100012220211012021
413320220113310
5232331122230
621043202524
73164261203
oct770502764
9305824167
10132285940
1168743426
1238376444
1321539107
14137d723a
15b930c7a
hex7e285f4

132285940 has 24 divisors (see below), whose sum is σ = 278836992. Its totient is φ = 52716960.

The previous prime is 132285917. The next prime is 132285943. The reversal of 132285940 is 49582231.

132285940 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

132285940 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 132285896 and 132285905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132285943) 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, 6784 + ... + 17623.

It is an arithmetic number, because the mean of its divisors is an integer number (11618208).

Almost surely, 2132285940 is an apocalyptic number.

132285940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132285940 is an abundant number, since it is smaller than the sum of its proper divisors (146551052).

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

132285940 is a wasteful number, since it uses less digits than its factorization.

132285940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24687 (or 24685 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 132285940 is about 11501.5625025472. The cubic root of 132285940 is about 509.5317244666.

It can be divided in two parts, 132285 and 940, that added together give a square (133225 = 3652).

The spelling of 132285940 in words is "one hundred thirty-two million, two hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 271 542 1084 1355 2710 5420 24407 48814 97628 122035 244070 488140 6614297 13228594 26457188 33071485 66142970 132285940