Search a number
-
+
133363242 = 23219419511
BaseRepresentation
bin1111111001011…
…11011000101010
3100021221112222100
413330233120222
5233120110432
621122234230
73206366055
oct774573052
9307845870
10133363242
1169309861
12387b5976
132182557c
14139d7a9c
15ba9507c
hex7f2f62a

133363242 has 48 divisors (see below), whose sum is σ = 311613120. Its totient is φ = 41083200.

The previous prime is 133363231. The next prime is 133363277. The reversal of 133363242 is 242363331.

It is a happy number.

133363242 is a `hidden beast` number, since 1 + 3 + 336 + 324 + 2 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9267 + ... + 18777.

It is an arithmetic number, because the mean of its divisors is an integer number (6491940).

Almost surely, 2133363242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133363242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155806560).

133363242 is an abundant number, since it is smaller than the sum of its proper divisors (178249878).

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

133363242 is a wasteful number, since it uses less digits than its factorization.

133363242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579 (or 9576 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 133363242 is about 11548.3003944303. The cubic root of 133363242 is about 510.9111508955.

The spelling of 133363242 in words is "one hundred thirty-three million, three hundred sixty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 4674 7011 9511 14022 19022 28533 57066 85599 171198 180709 361418 389951 542127 779902 1084254 1169853 1626381 2339706 3252762 3509559 7019118 7409069 14818138 22227207 44454414 66681621 133363242