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133493304 = 23373532251
BaseRepresentation
bin1111111010011…
…11001000111000
3100022012011101110
413331033020320
5233133241204
621125120320
73210450210
oct775171070
9308164343
10133493304
116939854a
12388590a0
132186c829
1413a2d240
15babd889
hex7f4f238

133493304 has 64 divisors (see below), whose sum is σ = 382659840. Its totient is φ = 38016000.

The previous prime is 133493303. The next prime is 133493309. The reversal of 133493304 is 403394331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133493303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58179 + ... + 60429.

It is an arithmetic number, because the mean of its divisors is an integer number (5979060).

Almost surely, 2133493304 is an apocalyptic number.

133493304 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 133493304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191329920).

133493304 is an abundant number, since it is smaller than the sum of its proper divisors (249166536).

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

133493304 is a wasteful number, since it uses less digits than its factorization.

133493304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 133493304 is about 11553.9302403987. The cubic root of 133493304 is about 511.0771849917.

It can be divided in two parts, 13349 and 3304, that added together give a triangular number (16653 = T182).

The spelling of 133493304 in words is "one hundred thirty-three million, four hundred ninety-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 353 706 1059 1412 2118 2251 2471 2824 4236 4502 4942 6753 7413 8472 9004 9884 13506 14826 15757 18008 19768 27012 29652 31514 47271 54024 59304 63028 94542 126056 189084 378168 794603 1589206 2383809 3178412 4767618 5562221 6356824 9535236 11124442 16686663 19070472 22248884 33373326 44497768 66746652 133493304