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132611670 = 23257120753
BaseRepresentation
bin1111110011101…
…11111001010110
3100020112101000100
413321313321112
5232422033140
621054154530
73200115642
oct771677126
9306471010
10132611670
1168946124
12384b2a46
1321621459
141387dc22
15b997530
hex7e77e56

132611670 has 48 divisors (see below), whose sum is σ = 349663392. Its totient is φ = 34863360.

The previous prime is 132611669. The next prime is 132611681. The reversal of 132611670 is 76116231.

It is a super-3 number, since 3×1326116703 (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3987 + ... + 16766.

It is an arithmetic number, because the mean of its divisors is an integer number (7284654).

Almost surely, 2132611670 is an apocalyptic number.

132611670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132611670 is an abundant number, since it is smaller than the sum of its proper divisors (217051722).

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

132611670 is a wasteful number, since it uses less digits than its factorization.

132611670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20837 (or 20834 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132611670 is about 11515.7140464671. The cubic root of 132611670 is about 509.9495913269.

It can be divided in two parts, 1326 and 11670, that added together give a square (12996 = 1142).

The spelling of 132611670 in words is "one hundred thirty-two million, six hundred eleven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 20753 41506 62259 103765 124518 186777 207530 311295 373554 622590 933885 1473463 1867770 2946926 4420389 7367315 8840778 13261167 14734630 22101945 26522334 44203890 66305835 132611670