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133306236 = 22347531109
BaseRepresentation
bin1111111001000…
…01011101111100
3100021211122210000
413330201131330
5233111244421
621121114300
73206040630
oct774413574
9307748700
10133306236
116927aa48
1238788990
132180563b
14139c0dc0
15ba83226
hex7f2177c

133306236 has 120 divisors (see below), whose sum is σ = 406153440. Its totient is φ = 37335168.

The previous prime is 133306219. The next prime is 133306267. The reversal of 133306236 is 632603331.

133306236 is a `hidden beast` number, since 1 + 3 + 3 + 30 + 623 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 119650 + ... + 120758.

It is an arithmetic number, because the mean of its divisors is an integer number (3384612).

Almost surely, 2133306236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133306236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203076720).

133306236 is an abundant number, since it is smaller than the sum of its proper divisors (272847204).

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

133306236 is a wasteful number, since it uses less digits than its factorization.

133306236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 133306236 is about 11545.8319752195. The cubic root of 133306236 is about 510.8383443474.

Adding to 133306236 its reverse (632603331), we get a palindrome (765909567).

The spelling of 133306236 in words is "one hundred thirty-three million, three hundred six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1109 1113 1134 1431 1484 1908 2218 2226 2268 2862 3327 3339 4293 4436 4452 5724 6654 6678 7763 8586 9981 10017 13308 13356 15526 17172 19962 20034 23289 29943 30051 31052 39924 40068 46578 58777 59886 60102 69867 89829 93156 117554 119772 120204 139734 176331 179658 209601 235108 279468 352662 359316 411439 419202 528993 628803 705324 822878 838404 1057986 1234317 1257606 1586979 1645756 2115972 2468634 2515212 3173958 3702951 4760937 4937268 6347916 7405902 9521874 11108853 14811804 19043748 22217706 33326559 44435412 66653118 133306236