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132210342 = 232114714207
BaseRepresentation
bin1111110000101…
…01111010100110
3100012202222111100
413320111322212
5232321212332
621041420530
73163524615
oct770257246
9305688440
10132210342
11686a1650
123833a746
1321510894
14137b787c
15b91867c
hex7e15ea6

132210342 has 48 divisors (see below), whose sum is σ = 319168512. Its totient is φ = 39208560.

The previous prime is 132210329. The next prime is 132210347. The reversal of 132210342 is 243012231.

132210342 is a `hidden beast` number, since 1 + 322 + 1 + 0 + 342 = 666.

132210342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132210347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2203 + ... + 16409.

It is an arithmetic number, because the mean of its divisors is an integer number (6649344).

Almost surely, 2132210342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132210342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159584256).

132210342 is an abundant number, since it is smaller than the sum of its proper divisors (186958170).

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

132210342 is a wasteful number, since it uses less digits than its factorization.

132210342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14273 (or 14270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132210342 is about 11498.2756098469. The cubic root of 132210342 is about 509.4346445620.

Adding to 132210342 its reverse (243012231), we get a palindrome (375222573).

It can be divided in two parts, 1322 and 10342, that added together give a square (11664 = 1082).

The spelling of 132210342 in words is "one hundred thirty-two million, two hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 9306 14207 28414 42621 85242 127863 156277 255726 312554 468831 667729 937662 1335458 1406493 2003187 2812986 4006374 6009561 7345019 12019122 14690038 22035057 44070114 66105171 132210342