Search a number
-
+
133250112 = 2632733169
BaseRepresentation
bin1111111000100…
…11110001000000
3100021201210210100
413330103301000
5233103000422
621120002400
73205415202
oct774236100
9307653710
10133250112
1169241866
1238760400
13217b5c28
14139a8772
15ba717ac
hex7f13c40

133250112 has 84 divisors (see below), whose sum is σ = 387291580. Its totient is φ = 43794432.

The previous prime is 133250111. The next prime is 133250129. The reversal of 133250112 is 211052331.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 39237696 = 9696^2 + 6264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133250111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40464 + ... + 43632.

Almost surely, 2133250112 is an apocalyptic number.

133250112 is a gapful number since it is divisible by the number (12) 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 133250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193645790).

133250112 is an abundant number, since it is smaller than the sum of its proper divisors (254041468).

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

133250112 is a wasteful number, since it uses less digits than its factorization.

133250112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133250112 is about 11543.4012318727. The cubic root of 133250112 is about 510.7666439864.

The spelling of 133250112 in words is "one hundred thirty-three million, two hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3169 3504 4672 5256 6338 7008 9507 10512 12676 14016 19014 21024 25352 28521 38028 42048 50704 57042 76056 101408 114084 152112 202816 228168 231337 304224 456336 462674 608448 694011 912672 925348 1388022 1825344 1850696 2082033 2776044 3701392 4164066 5552088 7402784 8328132 11104176 14805568 16656264 22208352 33312528 44416704 66625056 133250112