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133869060 = 2232513193011
BaseRepresentation
bin1111111101010…
…10111000000100
3100022220020211100
413332222320010
5233232302220
621141140100
73213603543
oct776527004
9308806740
10133869060
1169624896
12389ba630
1321971880
1413aca15a
15bb44d90
hex7faae04

133869060 has 144 divisors (see below), whose sum is σ = 460474560. Its totient is φ = 31207680.

The previous prime is 133869013. The next prime is 133869089. The reversal of 133869060 is 60968331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42955 + ... + 45965.

It is an arithmetic number, because the mean of its divisors is an integer number (3197740).

Almost surely, 2133869060 is an apocalyptic number.

133869060 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 133869060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230237280).

133869060 is an abundant number, since it is smaller than the sum of its proper divisors (326605500).

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

133869060 is a wasteful number, since it uses less digits than its factorization.

133869060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 133869060 is about 11570.1797738842. The cubic root of 133869060 is about 511.5562612441.

The spelling of 133869060 in words is "one hundred thirty-three million, eight hundred sixty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3011 3420 3705 4446 4940 6022 7410 8892 9033 11115 12044 14820 15055 18066 22230 27099 30110 36132 39143 44460 45165 54198 57209 60220 78286 90330 108396 114418 117429 135495 156572 171627 180660 195715 228836 234858 270990 286045 343254 352287 391430 469716 514881 541980 572090 587145 686508 704574 743717 782860 858135 1029762 1144180 1174290 1409148 1487434 1716270 1761435 2059524 2231151 2348580 2574405 2974868 3432540 3522870 3718585 4462302 5148810 6693453 7045740 7437170 8924604 10297620 11155755 13386906 14874340 22311510 26773812 33467265 44623020 66934530 133869060