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133255320 = 233511157643
BaseRepresentation
bin1111111000101…
…01000010011000
3100021202001221020
413330111002120
5233103132240
621120042440
73205436322
oct774250230
9307661836
10133255320
1169245770
1238763420
13217b8403
14139aa612
15ba730d0
hex7f15098

133255320 has 128 divisors (see below), whose sum is σ = 439568640. Its totient is φ = 32048640.

The previous prime is 133255313. The next prime is 133255321. The reversal of 133255320 is 23552331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133255321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206919 + ... + 207561.

It is an arithmetic number, because the mean of its divisors is an integer number (3434130).

Almost surely, 2133255320 is an apocalyptic number.

133255320 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 133255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219784320).

133255320 is an abundant number, since it is smaller than the sum of its proper divisors (306313320).

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

133255320 is a wasteful number, since it uses less digits than its factorization.

133255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 133255320 is about 11543.6268130947. The cubic root of 133255320 is about 510.7732982348.

The spelling of 133255320 in words is "one hundred thirty-three million, two hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 157 165 220 264 314 330 440 471 628 643 660 785 942 1256 1286 1320 1570 1727 1884 1929 2355 2572 3140 3215 3454 3768 3858 4710 5144 5181 6280 6430 6908 7073 7716 8635 9420 9645 10362 12860 13816 14146 15432 17270 18840 19290 20724 21219 25720 25905 28292 34540 35365 38580 41448 42438 51810 56584 69080 70730 77160 84876 100951 103620 106095 141460 169752 201902 207240 212190 282920 302853 403804 424380 504755 605706 807608 848760 1009510 1110461 1211412 1514265 2019020 2220922 2422824 3028530 3331383 4038040 4441844 5552305 6057060 6662766 8883688 11104610 12114120 13325532 16656915 22209220 26651064 33313830 44418440 66627660 133255320