Search a number
-
+
133115304 = 233717127367
BaseRepresentation
bin1111110111100…
…10110110101000
3100021110221212110
413323302312220
5233034142204
621113042320
73204314160
oct773626650
9307427773
10133115304
116915a553
12386b63a0
132176976a
14139715a0
15ba46889
hex7ef2da8

133115304 has 128 divisors (see below), whose sum is σ = 406978560. Its totient is φ = 35417088.

The previous prime is 133115303. The next prime is 133115341. The reversal of 133115304 is 403511331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (133115303) 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 31 ways as a sum of consecutive naturals, for example, 362529 + ... + 362895.

It is an arithmetic number, because the mean of its divisors is an integer number (3179520).

Almost surely, 2133115304 is an apocalyptic number.

133115304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133115304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203489280).

133115304 is an abundant number, since it is smaller than the sum of its proper divisors (273863256).

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

133115304 is a wasteful number, since it uses less digits than its factorization.

133115304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 133115304 is about 11537.5605740555. The cubic root of 133115304 is about 510.5943397837.

Adding to 133115304 its reverse (403511331), we get a palindrome (536626635).

The spelling of 133115304 in words is "one hundred thirty-three million, one hundred fifteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 127 136 168 204 238 254 357 367 381 408 476 508 714 734 762 889 952 1016 1101 1428 1468 1524 1778 2159 2202 2569 2667 2856 2936 3048 3556 4318 4404 5138 5334 6239 6477 7112 7707 8636 8808 10276 10668 12478 12954 15113 15414 17272 18717 20552 21336 24956 25908 30226 30828 37434 43673 45339 46609 49912 51816 60452 61656 74868 87346 90678 93218 120904 131019 139827 149736 174692 181356 186436 262038 279654 326263 349384 362712 372872 524076 559308 652526 792353 978789 1048152 1118616 1305052 1584706 1957578 2377059 2610104 3169412 3915156 4754118 5546471 6338824 7830312 9508236 11092942 16639413 19016472 22185884 33278826 44371768 66557652 133115304