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133249014 = 232191392803
BaseRepresentation
bin1111111000100…
…11011111110110
3100021201202021200
413330103133312
5233102432024
621115553330
73205412043
oct774233766
9307652250
10133249014
1169240a58
123875b846
13217b5592
14139a81ca
15ba712c9
hex7f137f6

133249014 has 48 divisors (see below), whose sum is σ = 306196800. Its totient is φ = 41761008.

The previous prime is 133249013. The next prime is 133249031. The reversal of 133249014 is 410942331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133249013) 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 23 ways as a sum of consecutive naturals, for example, 46137 + ... + 48939.

It is an arithmetic number, because the mean of its divisors is an integer number (6379100).

Almost surely, 2133249014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133249014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153098400).

133249014 is an abundant number, since it is smaller than the sum of its proper divisors (172947786).

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

133249014 is a wasteful number, since it uses less digits than its factorization.

133249014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133249014 is about 11543.3536721353. The cubic root of 133249014 is about 510.7652410525.

The spelling of 133249014 in words is "one hundred thirty-three million, two hundred forty-nine thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 139 171 278 342 417 834 1251 2502 2641 2803 5282 5606 7923 8409 15846 16818 23769 25227 47538 50454 53257 106514 159771 319542 389617 479313 779234 958626 1168851 2337702 3506553 7013106 7402723 14805446 22208169 44416338 66624507 133249014