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133358016 = 26311233271
BaseRepresentation
bin1111111001011…
…10000111000000
3100021221021210210
413330232013000
5233114424031
621122154120
73206344611
oct774560700
9307837723
10133358016
1169305940
12387b2940
132182308c
14139d5c08
15ba93746
hex7f2e1c0

133358016 has 112 divisors (see below), whose sum is σ = 387998208. Its totient is φ = 40089600.

The previous prime is 133357997. The next prime is 133358021. The reversal of 133358016 is 610853331.

133358016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491961 + ... + 492231.

Almost surely, 2133358016 is an apocalyptic number.

133358016 is a gapful number since it is divisible by the number (16) 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 133358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193999104).

133358016 is an abundant number, since it is smaller than the sum of its proper divisors (254640192).

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

133358016 is a wasteful number, since it uses less digits than its factorization.

133358016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 133358016 is about 11548.0741251518. The cubic root of 133358016 is about 510.9044772511.

The spelling of 133358016 in words is "one hundred thirty-three million, three hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 233 264 271 352 466 528 542 699 704 813 932 1056 1084 1398 1626 1864 2112 2168 2563 2796 2981 3252 3728 4336 5126 5592 5962 6504 7456 7689 8672 8943 10252 11184 11924 13008 14912 15378 17344 17886 20504 22368 23848 26016 30756 35772 41008 44736 47696 52032 61512 63143 71544 82016 95392 123024 126286 143088 164032 189429 190784 246048 252572 286176 378858 492096 505144 572352 694573 757716 1010288 1389146 1515432 2020576 2083719 2778292 3030864 4041152 4167438 5556584 6061728 8334876 11113168 12123456 16669752 22226336 33339504 44452672 66679008 133358016