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133730190 = 2355115003
BaseRepresentation
bin1111111100010…
…00111110001110
3100022122012100000
413332020332032
5233213331230
621134145130
73212454636
oct776107616
9308565300
10133730190
116953a520
12389521a6
13219235b9
1413a916c6
15bb18b60
hex7f88f8e

133730190 has 96 divisors (see below), whose sum is σ = 393434496. Its totient is φ = 32412960.

The previous prime is 133730159. The next prime is 133730197. The reversal of 133730190 is 91037331.

It is a super-2 number, since 2×1337301902 = 35767527434872200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133730197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24229 + ... + 29231.

It is an arithmetic number, because the mean of its divisors is an integer number (4098276).

Almost surely, 2133730190 is an apocalyptic number.

133730190 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 133730190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196717248).

133730190 is an abundant number, since it is smaller than the sum of its proper divisors (259704306).

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

133730190 is a wasteful number, since it uses less digits than its factorization.

133730190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 133730190 is about 11564.1770135189. The cubic root of 133730190 is about 511.3793112286.

The spelling of 133730190 in words is "one hundred thirty-three million, seven hundred thirty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5003 5346 8910 10006 13365 15009 25015 26730 30018 45027 50030 55033 75045 90054 110066 135081 150090 165099 225135 270162 275165 330198 405243 450270 495297 550330 675405 810486 825495 990594 1215729 1350810 1485891 1650990 2026215 2431458 2476485 2971782 4052430 4457673 4952970 6078645 7429455 8915346 12157290 13373019 14858910 22288365 26746038 44576730 66865095 133730190