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133143240 = 23357315199
BaseRepresentation
bin1111110111110…
…01101011001000
3100021112101012010
413323321223020
5233041040430
621113415520
73204461466
oct773715310
9307471163
10133143240
116917953a
123870a5a0
13217793a9
141397b836
15ba4ecb0
hex7ef9ac8

133143240 has 64 divisors (see below), whose sum is σ = 404928000. Its totient is φ = 35016192.

The previous prime is 133143239. The next prime is 133143253. The reversal of 133143240 is 42341331.

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 15 ways as a sum of consecutive naturals, for example, 1161 + ... + 16359.

It is an arithmetic number, because the mean of its divisors is an integer number (6327000).

Almost surely, 2133143240 is an apocalyptic number.

133143240 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 133143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202464000).

133143240 is an abundant number, since it is smaller than the sum of its proper divisors (271784760).

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

133143240 is a wasteful number, since it uses less digits than its factorization.

133143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15286 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 133143240 is about 11538.7711650765. The cubic root of 133143240 is about 510.6300556013.

Adding to 133143240 its reverse (42341331), we get a palindrome (175484571).

The spelling of 133143240 in words is "one hundred thirty-three million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 15199 30398 45597 60796 75995 91194 121592 151990 182388 227985 303980 364776 455970 607960 911940 1109527 1823880 2219054 3328581 4438108 5547635 6657162 8876216 11095270 13314324 16642905 22190540 26628648 33285810 44381080 66571620 133143240