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133072485 = 35721319733
BaseRepresentation
bin1111110111010…
…00011001100101
3100021101210010120
413323220121211
5233031304420
621112112153
73204045300
oct773503145
9307353116
10133072485
1169130367
1238695659
1321753120
141395db37
15ba38d40
hex7ee8665

133072485 has 96 divisors (see below), whose sum is σ = 281151360. Its totient is φ = 53125632.

The previous prime is 133072483. The next prime is 133072501. The reversal of 133072485 is 584270331.

It is not a de Polignac number, because 133072485 - 21 = 133072483 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133072483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181179 + ... + 181911.

It is an arithmetic number, because the mean of its divisors is an integer number (2928660).

Almost surely, 2133072485 is an apocalyptic number.

133072485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133072485 is an abundant number, since it is smaller than the sum of its proper divisors (148078875).

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

133072485 is a wasteful number, since it uses less digits than its factorization.

133072485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 133072485 is about 11535.7047899121. The cubic root of 133072485 is about 510.5395865409.

The spelling of 133072485 in words is "one hundred thirty-three million, seventy-two thousand, four hundred eighty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 49 57 65 91 95 105 133 147 195 245 247 273 285 399 455 637 665 733 735 741 931 1235 1365 1729 1911 1995 2199 2793 3185 3665 3705 4655 5131 5187 8645 9529 9555 10995 12103 13927 13965 15393 25655 25935 28587 35917 36309 41781 47645 60515 66703 69635 76965 97489 107751 142935 179585 181051 181545 200109 208905 292467 333515 466921 487445 538755 543153 682423 905255 1000545 1267357 1400763 1462335 2047269 2334605 2715765 3412115 3802071 6336785 7003815 8871499 10236345 19010355 26614497 44357495 133072485