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133953728 = 2631107631
BaseRepresentation
bin1111111101111…
…11100011000000
3100100001112222012
413332333203000
5233243004403
621143032052
73214405436
oct776774300
9310045865
10133953728
1169682467
1238a3b628
13219a127c
1413b0cd56
15bb5eed8
hex7fbf8c0

133953728 has 56 divisors (see below), whose sum is σ = 277392384. Its totient is φ = 64108800.

The previous prime is 133953719. The next prime is 133953731. The reversal of 133953728 is 827359331.

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 7 ways as a sum of consecutive naturals, for example, 211973 + ... + 212603.

Almost surely, 2133953728 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 133953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138696192).

133953728 is an abundant number, since it is smaller than the sum of its proper divisors (143438656).

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

133953728 is a wasteful number, since it uses less digits than its factorization.

133953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its digits is 136080, while the sum is 41.

The square root of 133953728 is about 11573.8380842312. The cubic root of 133953728 is about 511.6640863021.

The spelling of 133953728 in words is "one hundred thirty-three million, nine hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 214 248 428 496 631 856 992 1262 1712 1984 2524 3317 3424 5048 6634 6848 10096 13268 19561 20192 26536 39122 40384 53072 67517 78244 106144 135034 156488 212288 270068 312976 540136 625952 1080272 1251904 2093027 2160544 4186054 4321088 8372108 16744216 33488432 66976864 133953728