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133312040 = 23543179433
BaseRepresentation
bin1111111001000…
…10111000101000
3100021211221201222
413330202320220
5233111441130
621121201212
73206063561
oct774427050
9307757658
10133312040
1169284344
1238790208
1321808184
14139c3168
15ba84ce5
hex7f22e28

133312040 has 64 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 51674112.

The previous prime is 133311991. The next prime is 133312051. The reversal of 133312040 is 40213331.

It is a happy number.

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, 307664 + ... + 308096.

It is an arithmetic number, because the mean of its divisors is an integer number (4833675).

Almost surely, 2133312040 is an apocalyptic number.

133312040 is a gapful number since it is divisible by the number (10) 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 133312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

133312040 is an abundant number, since it is smaller than the sum of its proper divisors (176043160).

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

133312040 is a wasteful number, since it uses less digits than its factorization.

133312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133312040 is about 11546.0833185977. The cubic root of 133312040 is about 510.8457580109.

Adding to 133312040 its reverse (40213331), we get a palindrome (173525371).

The spelling of 133312040 in words is "one hundred thirty-three million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 179 215 344 358 430 433 716 860 866 895 1432 1720 1732 1790 2165 3464 3580 4330 7160 7697 8660 15394 17320 18619 30788 37238 38485 61576 74476 76970 77507 93095 148952 153940 155014 186190 307880 310028 372380 387535 620056 744760 775070 1550140 3100280 3332801 6665602 13331204 16664005 26662408 33328010 66656020 133312040