Search a number
-
+
133324140 = 2235191071093
BaseRepresentation
bin1111111001001…
…01110101101100
3100021212120100010
413330211311230
5233112333030
621121333220
73206144055
oct774456554
9307776303
10133324140
1169292444
1238797210
1321810831
14139c772c
15ba886b0
hex7f25d6c

133324140 has 96 divisors (see below), whose sum is σ = 396990720. Its totient is φ = 33336576.

The previous prime is 133324133. The next prime is 133324151. The reversal of 133324140 is 41423331.

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 31 ways as a sum of consecutive naturals, for example, 121434 + ... + 122526.

It is an arithmetic number, because the mean of its divisors is an integer number (4135320).

Almost surely, 2133324140 is an apocalyptic number.

133324140 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 133324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198495360).

133324140 is an abundant number, since it is smaller than the sum of its proper divisors (263666580).

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

133324140 is a wasteful number, since it uses less digits than its factorization.

133324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

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

The square root of 133324140 is about 11546.6072939197. The cubic root of 133324140 is about 510.8612130958.

Adding to 133324140 its reverse (41423331), we get a palindrome (174747471).

The spelling of 133324140 in words is "one hundred thirty-three million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 380 428 535 570 642 1070 1093 1140 1284 1605 2033 2140 2186 3210 3279 4066 4372 5465 6099 6420 6558 8132 10165 10930 12198 13116 16395 20330 20767 21860 24396 30495 32790 40660 41534 60990 62301 65580 83068 103835 116951 121980 124602 207670 233902 249204 311505 350853 415340 467804 584755 623010 701706 1169510 1246020 1403412 1754265 2222069 2339020 3508530 4444138 6666207 7017060 8888276 11110345 13332414 22220690 26664828 33331035 44441380 66662070 133324140