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133520616 = 23332712281
BaseRepresentation
bin1111111010101…
…01110011101000
3100022020112212000
413331111303220
5233140124431
621125451000
73210622635
oct775256350
9308215760
10133520616
1169407019
1238870a60
132187c0a8
1413a3918c
15bac69e6
hex7f55ce8

133520616 has 64 divisors (see below), whose sum is σ = 372422400. Its totient is φ = 44323200.

The previous prime is 133520609. The next prime is 133520617. The reversal of 133520616 is 616025331.

133520616 is a `hidden beast` number, since 13 + 35 + 2 + 0 + 616 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133520616.

It is not an unprimeable number, because it can be changed into a prime (133520617) 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 15 ways as a sum of consecutive naturals, for example, 57396 + ... + 59676.

It is an arithmetic number, because the mean of its divisors is an integer number (5819100).

Almost surely, 2133520616 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 133520616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186211200).

133520616 is an abundant number, since it is smaller than the sum of its proper divisors (238901784).

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

133520616 is a wasteful number, since it uses less digits than its factorization.

133520616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133520616 is about 11555.1121154232. The cubic root of 133520616 is about 511.1120371474.

Adding to 133520616 its reverse (616025331), we get a palindrome (749545947).

The spelling of 133520616 in words is "one hundred thirty-three million, five hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 271 542 813 1084 1626 2168 2281 2439 3252 4562 4878 6504 6843 7317 9124 9756 13686 14634 18248 19512 20529 27372 29268 41058 54744 58536 61587 82116 123174 164232 246348 492696 618151 1236302 1854453 2472604 3708906 4945208 5563359 7417812 11126718 14835624 16690077 22253436 33380154 44506872 66760308 133520616