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133241352 = 23359731289
BaseRepresentation
bin1111111000100…
…01101000001000
3100021201100202220
413330101220020
5233102210402
621115454040
73205350516
oct774215010
9307640686
10133241352
1169236222
1238757320
13217b1c4a
14139a54b6
15ba6ddbc
hex7f11a08

133241352 has 64 divisors (see below), whose sum is σ = 343656000. Its totient is φ = 43029504.

The previous prime is 133241333. The next prime is 133241363. The reversal of 133241352 is 253142331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102724 + ... + 104012.

It is an arithmetic number, because the mean of its divisors is an integer number (5369625).

Almost surely, 2133241352 is an apocalyptic number.

133241352 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 133241352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171828000).

133241352 is an abundant number, since it is smaller than the sum of its proper divisors (210414648).

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

133241352 is a wasteful number, since it uses less digits than its factorization.

133241352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 133241352 is about 11543.0217880761. The cubic root of 133241352 is about 510.7554509656.

Adding to 133241352 its reverse (253142331), we get a palindrome (386383683).

The spelling of 133241352 in words is "one hundred thirty-three million, two hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 59 73 118 146 177 219 236 292 354 438 472 584 708 876 1289 1416 1752 2578 3867 4307 5156 7734 8614 10312 12921 15468 17228 25842 30936 34456 51684 76051 94097 103368 152102 188194 228153 282291 304204 376388 456306 564582 608408 752776 912612 1129164 1825224 2258328 5551723 11103446 16655169 22206892 33310338 44413784 66620676 133241352