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133076405 = 572112672
BaseRepresentation
bin1111110111010…
…01010110110101
3100021101222111202
413323221112311
5233031421110
621112142245
73204062600
oct773512665
9307358452
10133076405
1169133300
1238697985
1321754b47
1413961337
15ba3a0a5
hex7ee95b5

133076405 has 54 divisors (see below), whose sum is σ = 207279702. Its totient is φ = 81718560.

The previous prime is 133076401. The next prime is 133076429. The reversal of 133076405 is 504670331.

It can be written as a sum of positive squares in only one way, i.e., 106461124 + 26615281 = 10318^2 + 5159^2 .

It is not a de Polignac number, because 133076405 - 22 = 133076401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133076401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1986182 + ... + 1986248.

It is an arithmetic number, because the mean of its divisors is an integer number (3838513).

Almost surely, 2133076405 is an apocalyptic number.

It is an amenable number.

133076405 is a deficient number, since it is larger than the sum of its proper divisors (74203297).

133076405 is an equidigital number, since it uses as much as digits as its factorization.

133076405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 133076405 is about 11535.8746959214. The cubic root of 133076405 is about 510.5445995870.

The spelling of 133076405 in words is "one hundred thirty-three million, seventy-six thousand, four hundred five".

Divisors: 1 5 7 11 35 49 55 67 77 121 245 335 385 469 539 605 737 847 2345 2695 3283 3685 4235 4489 5159 5929 8107 16415 22445 25795 29645 31423 36113 40535 49379 56749 157115 180565 219961 246895 283745 345653 397243 543169 1099805 1728265 1986215 2419571 2715845 3802183 12097855 19010915 26615281 133076405