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132288140 = 22529415563
BaseRepresentation
bin1111110001010…
…00111010001100
3100012220221012202
413320220322030
5232331210030
621043221032
73164300465
oct770507214
9305827182
10132288140
1168745046
1238377778
132153a10a
14137d7d6c
15b931745
hex7e28e8c

132288140 has 48 divisors (see below), whose sum is σ = 294446880. Its totient is φ = 49835520.

The previous prime is 132288137. The next prime is 132288161. The reversal of 132288140 is 41882231.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 20999 + ... + 26561.

It is an arithmetic number, because the mean of its divisors is an integer number (6134310).

Almost surely, 2132288140 is an apocalyptic number.

132288140 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 132288140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147223440).

132288140 is an abundant number, since it is smaller than the sum of its proper divisors (162158740).

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

132288140 is a wasteful number, since it uses less digits than its factorization.

132288140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5642 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 132288140 is about 11501.6581413290. The cubic root of 132288140 is about 509.5345490640.

The spelling of 132288140 in words is "one hundred thirty-two million, two hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4756 5563 5945 11126 11890 22252 23780 27815 55630 111260 161327 228083 322654 456166 645308 806635 912332 1140415 1613270 2280830 3226540 4561660 6614407 13228814 26457628 33072035 66144070 132288140