Search a number
-
+
133297593 = 31121347601
BaseRepresentation
bin1111111000111…
…11010110111001
3100021211012220220
413330133112321
5233111010333
621121010253
73206003502
oct774372671
9307735826
10133297593
1169274500
1238783989
1321801720
14139bbba9
15ba808b3
hex7f1f5b9

133297593 has 48 divisors (see below), whose sum is σ = 215217408. Its totient is φ = 72864000.

The previous prime is 133297589. The next prime is 133297603. The reversal of 133297593 is 395792331.

It is not a de Polignac number, because 133297593 - 22 = 133297589 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133297513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221493 + ... + 222093.

It is an arithmetic number, because the mean of its divisors is an integer number (4483696).

Almost surely, 2133297593 is an apocalyptic number.

133297593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133297593 is a deficient number, since it is larger than the sum of its proper divisors (81919815).

133297593 is a wasteful number, since it uses less digits than its factorization.

133297593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 675 counting only the distinct ones).

The product of its digits is 153090, while the sum is 42.

The square root of 133297593 is about 11545.4576782387. The cubic root of 133297593 is about 510.8273039256.

The spelling of 133297593 in words is "one hundred thirty-three million, two hundred ninety-seven thousand, five hundred ninety-three".

Divisors: 1 3 11 13 33 39 47 121 141 143 363 429 517 601 611 1551 1573 1803 1833 4719 5687 6611 6721 7813 17061 19833 20163 23439 28247 72721 73931 84741 85943 218163 221793 257829 310717 367211 932151 945373 1101633 2836119 3417887 4039321 10253661 12117963 44432531 133297593