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133303320 = 2334541143
BaseRepresentation
bin1111111001000…
…00110000011000
3100021211111210000
413330200300120
5233111201240
621121053000
73206026263
oct774406030
9307744700
10133303320
1169278837
1238787160
1321804207
14139bdcda
15ba82430
hex7f20c18

133303320 has 80 divisors (see below), whose sum is σ = 448058160. Its totient is φ = 35546688.

The previous prime is 133303279. The next prime is 133303337. The reversal of 133303320 is 23303331.

133303320 is a `hidden beast` number, since 1 + 3 + 330 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133303293 and 133303302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17332 + ... + 23811.

It is an arithmetic number, because the mean of its divisors is an integer number (5600727).

Almost surely, 2133303320 is an apocalyptic number.

133303320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133303320 is an abundant number, since it is smaller than the sum of its proper divisors (314754840).

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

133303320 is a wasteful number, since it uses less digits than its factorization.

133303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41166 (or 41153 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133303320 is about 11545.7056951925. The cubic root of 133303320 is about 510.8346195517.

Adding to 133303320 its reverse (23303331), we get a palindrome (156606651).

The spelling of 133303320 in words is "one hundred thirty-three million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 41143 82286 123429 164572 205715 246858 329144 370287 411430 493716 617145 740574 822860 987432 1110861 1234290 1481148 1645720 1851435 2221722 2468580 2962296 3332583 3702870 4443444 4937160 5554305 6665166 7405740 8886888 11108610 13330332 14811480 16662915 22217220 26660664 33325830 44434440 66651660 133303320