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133482060 = 22335416029
BaseRepresentation
bin1111111010011…
…00011001001100
3100022011120222000
413331030121030
5233132411220
621124552300
73210402345
oct775143114
9308146860
10133482060
1169390058
1238852690
132186768a
1413a290cc
15baba390
hex7f4c64c

133482060 has 96 divisors (see below), whose sum is σ = 425476800. Its totient is φ = 34721280.

The previous prime is 133482053. The next prime is 133482061. The reversal of 133482060 is 60284331.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (133482061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19126 + ... + 25154.

It is an arithmetic number, because the mean of its divisors is an integer number (4432050).

Almost surely, 2133482060 is an apocalyptic number.

133482060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133482060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212738400).

133482060 is an abundant number, since it is smaller than the sum of its proper divisors (291994740).

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

133482060 is a wasteful number, since it uses less digits than its factorization.

133482060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 133482060 is about 11553.4436424817. The cubic root of 133482060 is about 511.0628354250.

The spelling of 133482060 in words is "one hundred thirty-three million, four hundred eighty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 6029 7380 11070 12058 18087 22140 24116 30145 36174 54261 60290 72348 90435 108522 120580 162783 180870 217044 247189 271305 325566 361740 494378 542610 651132 741567 813915 988756 1085220 1235945 1483134 1627830 2224701 2471890 2966268 3255660 3707835 4449402 4943780 6674103 7415670 8898804 11123505 13348206 14831340 22247010 26696412 33370515 44494020 66741030 133482060