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132059214 = 23372291721
BaseRepresentation
bin1111101111100…
…01000001001110
3100012111022012000
413313301001032
5232301343324
621034253130
73162325200
oct767610116
9305438160
10132059214
11685a9051
12382871a6
1321489b61
1413778770
15b8d89c9
hex7df104e

132059214 has 96 divisors (see below), whose sum is σ = 353354400. Its totient is φ = 36408960.

The previous prime is 132059197. The next prime is 132059231. The reversal of 132059214 is 412950231.

It is an interprime number because it is at equal distance from previous prime (132059197) and next prime (132059231).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75874 + ... + 77594.

It is an arithmetic number, because the mean of its divisors is an integer number (3680775).

Almost surely, 2132059214 is an apocalyptic number.

132059214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132059214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176677200).

132059214 is an abundant number, since it is smaller than the sum of its proper divisors (221295186).

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

132059214 is a wasteful number, since it uses less digits than its factorization.

132059214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 132059214 is about 11491.7019627208. The cubic root of 132059214 is about 509.2404610818.

The spelling of 132059214 in words is "one hundred thirty-two million, fifty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 882 1218 1323 1421 1566 1721 1827 2646 2842 3442 3654 4263 5163 5481 8526 10326 10962 12047 12789 15489 24094 25578 30978 36141 38367 46467 49909 72282 76734 84329 92934 99818 108423 149727 168658 216846 252987 299454 325269 349363 449181 505974 650538 698726 758961 898362 1048089 1347543 1517922 2096178 2276883 2445541 2695086 3144267 4553766 4891082 6288534 7336623 9432801 14673246 18865602 22009869 44019738 66029607 132059214