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132071550 = 23521389761
BaseRepresentation
bin1111101111101…
…00000001111110
3100012111221002220
413313310001332
5232302242200
621034430210
73162406152
oct767640176
9305457086
10132071550
1168607346
1238292366
1321492660
141377d062
15b8dc4a0
hex7df407e

132071550 has 96 divisors (see below), whose sum is σ = 357164640. Its totient is φ = 32102400.

The previous prime is 132071507. The next prime is 132071581. The reversal of 132071550 is 55170231.

132071550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132071550.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173170 + ... + 173930.

It is an arithmetic number, because the mean of its divisors is an integer number (3720465).

Almost surely, 2132071550 is an apocalyptic number.

132071550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132071550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

132071550 is an abundant number, since it is smaller than the sum of its proper divisors (225093090).

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

132071550 is a wasteful number, since it uses less digits than its factorization.

132071550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 132071550 is about 11492.2386853041. The cubic root of 132071550 is about 509.2563170870.

The spelling of 132071550 in words is "one hundred thirty-two million, seventy-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 89 130 150 178 195 267 325 390 445 534 650 761 890 975 1157 1335 1522 1950 2225 2283 2314 2670 3471 3805 4450 4566 5785 6675 6942 7610 9893 11415 11570 13350 17355 19025 19786 22830 28925 29679 34710 38050 49465 57075 57850 59358 67729 86775 98930 114150 135458 148395 173550 203187 247325 296790 338645 406374 494650 677290 741975 880477 1015935 1483950 1693225 1760954 2031870 2641431 3386450 4402385 5079675 5282862 8804770 10159350 13207155 22011925 26414310 44023850 66035775 132071550