Search a number
-
+
133362208 = 2573716091
BaseRepresentation
bin1111111001011…
…11001000100000
3100021221111120001
413330233020200
5233120042313
621122225344
73206363050
oct774571040
9307844501
10133362208
1169309001
12387b5254
1321824c65
14139d7560
15ba94add
hex7f2f220

133362208 has 48 divisors (see below), whose sum is σ = 308193984. Its totient is φ = 55607040.

The previous prime is 133362193. The next prime is 133362209. The reversal of 133362208 is 802263331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133362209) 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, 243 + ... + 16333.

It is an arithmetic number, because the mean of its divisors is an integer number (6420708).

Almost surely, 2133362208 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 133362208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154096992).

133362208 is an abundant number, since it is smaller than the sum of its proper divisors (174831776).

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

133362208 is a wasteful number, since it uses less digits than its factorization.

133362208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16145 (or 16137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 133362208 is about 11548.2556258510. The cubic root of 133362208 is about 510.9098304829.

The spelling of 133362208 in words is "one hundred thirty-three million, three hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 16091 32182 64364 112637 128728 225274 257456 450548 514912 595367 901096 1190734 1802192 2381468 3604384 4167569 4762936 8335138 9525872 16670276 19051744 33340552 66681104 133362208