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132011775 = 3452767139
BaseRepresentation
bin1111101111001…
…01011011111111
3100012101220010000
413313211123333
5232243334100
621033245343
73162036660
oct767453377
9305356100
10132011775
1168576445
1238263853
132147139c
1413765367
15b8c9900
hex7de56ff

132011775 has 120 divisors (see below), whose sum is σ = 285676160. Its totient is φ = 59019840.

The previous prime is 132011771. The next prime is 132011809. The reversal of 132011775 is 577110231.

It is a happy number.

It is not a de Polignac number, because 132011775 - 22 = 132011771 is a prime.

It is a super-3 number, since 3×1320117753 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132011771) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 949656 + ... + 949794.

Almost surely, 2132011775 is an apocalyptic number.

132011775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132011775 is an abundant number, since it is smaller than the sum of its proper divisors (153664385).

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

132011775 is a wasteful number, since it uses less digits than its factorization.

132011775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 132011775 is about 11489.6377227483. The cubic root of 132011775 is about 509.1794764402.

The spelling of 132011775 in words is "one hundred thirty-two million, eleven thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 67 75 81 105 135 139 175 189 201 225 315 335 405 417 469 525 567 603 675 695 945 973 1005 1251 1407 1575 1675 1809 2025 2085 2345 2835 2919 3015 3475 3753 4221 4725 4865 5025 5427 6255 7035 8757 9045 9313 10425 11259 11725 12663 14175 14595 15075 18765 21105 24325 26271 27135 27939 31275 35175 37989 43785 45225 46565 56295 63315 65191 72975 78813 83817 93825 105525 131355 135675 139695 189945 195573 218925 232825 251451 281475 316575 325955 394065 419085 586719 656775 698475 754353 949725 977865 1257255 1629775 1760157 1970325 2095425 2933595 3771765 4889325 5280471 6286275 8800785 14667975 18858825 26402355 44003925 132011775