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133248060 = 2232511173389
BaseRepresentation
bin1111111000100…
…11010000111100
3100021201200222100
413330103100330
5233102414220
621115545100
73205406211
oct774232074
9307650870
10133248060
1169240270
123875b190
13217b500a
14139a7b08
15ba70d90
hex7f1343c

133248060 has 144 divisors (see below), whose sum is σ = 444618720. Its totient is φ = 32033280.

The previous prime is 133247999. The next prime is 133248061. The reversal of 133248060 is 60842331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133248061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342346 + ... + 342734.

It is an arithmetic number, because the mean of its divisors is an integer number (3087630).

Almost surely, 2133248060 is an apocalyptic number.

133248060 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 133248060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222309360).

133248060 is an abundant number, since it is smaller than the sum of its proper divisors (311370660).

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

133248060 is a wasteful number, since it uses less digits than its factorization.

133248060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 583 counting only the distinct ones).

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

The square root of 133248060 is about 11543.3123495815. The cubic root of 133248060 is about 510.7640221036.

The spelling of 133248060 in words is "one hundred thirty-three million, two hundred forty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 173 180 198 220 330 346 389 396 495 519 660 692 778 865 990 1038 1167 1556 1557 1730 1903 1945 1980 2076 2334 2595 3114 3460 3501 3806 3890 4279 4668 5190 5709 5835 6228 7002 7612 7780 7785 8558 9515 10380 11418 11670 12837 14004 15570 17116 17127 17505 19030 21395 22836 23340 25674 28545 31140 34254 35010 38060 38511 42790 51348 57090 64185 67297 68508 70020 77022 85580 85635 114180 128370 134594 154044 171270 192555 201891 256740 269188 336485 342540 385110 403782 605673 672970 740267 770220 807564 1009455 1211346 1345940 1480534 2018910 2220801 2422692 2961068 3028365 3701335 4037820 4441602 6056730 6662403 7402670 8883204 11104005 12113460 13324806 14805340 22208010 26649612 33312015 44416020 66624030 133248060