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132089850 = 23252734021
BaseRepresentation
bin1111101111110…
…00011111111010
3100012112212012200
413313320133322
5232303333400
621035051030
73162513414
oct767703772
9305485180
10132089850
116861a072
12382a0a76
132149aa99
14137859b4
15b8e2b00
hex7df87fa

132089850 has 72 divisors (see below), whose sum is σ = 359832252. Its totient is φ = 34732800.

The previous prime is 132089807. The next prime is 132089857. The reversal of 132089850 is 58980231.

132089850 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 20766249 + 111323601 = 4557^2 + 10551^2 .

It is not an unprimeable number, because it can be changed into a prime (132089857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30840 + ... + 34860.

Almost surely, 2132089850 is an apocalyptic number.

132089850 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 132089850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179916126).

132089850 is an abundant number, since it is smaller than the sum of its proper divisors (227742402).

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

132089850 is a wasteful number, since it uses less digits than its factorization.

132089850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 132089850 is about 11493.0348472455. The cubic root of 132089850 is about 509.2798370659.

The spelling of 132089850 in words is "one hundred thirty-two million, eighty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1314 1825 2190 3285 3650 4021 5475 6570 8042 10950 12063 16425 20105 24126 32850 36189 40210 60315 72378 100525 120630 180945 201050 293533 301575 361890 587066 603150 880599 904725 1467665 1761198 1809450 2641797 2935330 4402995 5283594 7338325 8805990 13208985 14676650 22014975 26417970 44029950 66044925 132089850