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133293276 = 22391693
BaseRepresentation
bin1111111000111…
…10010011011100
3100021211000000000
413330132103130
5233110341101
621120534300
73205655064
oct774362334
9307730000
10133293276
1169271236
1238781390
13217cc77c
14139ba3a4
15ba7e486
hex7f1e4dc

133293276 has 60 divisors (see below), whose sum is σ = 350095592. Its totient is φ = 44404848.

The previous prime is 133293263. The next prime is 133293301. The reversal of 133293276 is 672392331.

133293276 is a `hidden beast` number, since 1 + 3 + 329 + 327 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133293276.

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 19 ways as a sum of consecutive naturals, for example, 77886 + ... + 79578.

Almost surely, 2133293276 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 133293276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175047796).

133293276 is an abundant number, since it is smaller than the sum of its proper divisors (216802316).

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

133293276 is an frugal number, since it uses more digits than its factorization.

133293276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1698 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 133293276 is about 11545.2707200827. The cubic root of 133293276 is about 510.8217892842.

The spelling of 133293276 in words is "one hundred thirty-three million, two hundred ninety-three thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1693 2187 2916 3386 4374 5079 6561 6772 8748 10158 13122 15237 19683 20316 26244 30474 39366 45711 60948 78732 91422 137133 182844 274266 411399 548532 822798 1234197 1645596 2468394 3702591 4936788 7405182 11107773 14810364 22215546 33323319 44431092 66646638 133293276