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133018976 = 2553107733
BaseRepresentation
bin1111110110110…
…11010101100000
3100021022001201202
413323123111200
5233023101401
621111020332
73203433266
oct773332540
9307261652
10133018976
11690a4142
123866a6a8
132173496c
1413948436
15ba2806b
hex7edb560

133018976 has 48 divisors (see below), whose sum is σ = 269683344. Its totient is φ = 64556544.

The previous prime is 133018973. The next prime is 133018987. The reversal of 133018976 is 679810331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133018973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181106 + ... + 181838.

It is an arithmetic number, because the mean of its divisors is an integer number (5618403).

Almost surely, 2133018976 is an apocalyptic number.

133018976 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 133018976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134841672).

133018976 is an abundant number, since it is smaller than the sum of its proper divisors (136664368).

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

133018976 is a wasteful number, since it uses less digits than its factorization.

133018976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 133018976 is about 11533.3852792664. The cubic root of 133018976 is about 510.4711473360.

The spelling of 133018976 in words is "one hundred thirty-three million, eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 106 107 212 214 424 428 733 848 856 1466 1696 1712 2932 3424 5671 5864 11342 11728 22684 23456 38849 45368 77698 78431 90736 155396 156862 181472 310792 313724 621584 627448 1243168 1254896 2509792 4156843 8313686 16627372 33254744 66509488 133018976