Search a number
-
+
133658272 = 2511431881
BaseRepresentation
bin1111111011101…
…11011010100000
3100022111112200101
413331313122200
5233204031042
621132432144
73212035156
oct775673240
9308445611
10133658272
11694a0490
1238918654
13218c9947
1413a733d6
15bb026b7
hex7f776a0

133658272 has 48 divisors (see below), whose sum is σ = 288054144. Its totient is φ = 60544000.

The previous prime is 133658257. The next prime is 133658297. The reversal of 133658272 is 272856331.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 151272 + ... + 152152.

It is an arithmetic number, because the mean of its divisors is an integer number (6001128).

Almost surely, 2133658272 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 133658272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144027072).

133658272 is an abundant number, since it is smaller than the sum of its proper divisors (154395872).

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

133658272 is a wasteful number, since it uses less digits than its factorization.

133658272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1325 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 133658272 is about 11561.0670787778. The cubic root of 133658272 is about 511.2876241981.

The spelling of 133658272 in words is "one hundred thirty-three million, six hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 431 862 881 1724 1762 3448 3524 4741 6896 7048 9482 9691 13792 14096 18964 19382 28192 37928 38764 75856 77528 151712 155056 310112 379711 759422 1518844 3037688 4176821 6075376 8353642 12150752 16707284 33414568 66829136 133658272