Search a number
-
+
133955208 = 2336103223
BaseRepresentation
bin1111111101111…
…11111010001000
3100100001122000000
413332333322020
5233243031313
621143043000
73214412652
oct776777210
9310048000
10133955208
1169683592
1238a40460
13219a1b4a
1413b0d6d2
15bb60673
hex7fbfe88

133955208 has 112 divisors (see below), whose sum is σ = 381937920. Its totient is φ = 44019936.

The previous prime is 133955201. The next prime is 133955233. The reversal of 133955208 is 802559331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133955201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 600585 + ... + 600807.

It is an arithmetic number, because the mean of its divisors is an integer number (3410160).

Almost surely, 2133955208 is an apocalyptic number.

133955208 is a gapful number since it is divisible by the number (18) 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 133955208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190968960).

133955208 is an abundant number, since it is smaller than the sum of its proper divisors (247982712).

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

133955208 is a wasteful number, since it uses less digits than its factorization.

133955208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 133955208 is about 11573.9020213582. The cubic root of 133955208 is about 511.6659706843.

The spelling of 133955208 in words is "one hundred thirty-three million, nine hundred fifty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 223 243 309 324 412 446 486 618 648 669 729 824 892 927 972 1236 1338 1458 1784 1854 1944 2007 2472 2676 2781 2916 3708 4014 5352 5562 5832 6021 7416 8028 8343 11124 12042 16056 16686 18063 22248 22969 24084 25029 33372 36126 45938 48168 50058 54189 66744 68907 72252 75087 91876 100116 108378 137814 144504 150174 162567 183752 200232 206721 216756 275628 300348 325134 413442 433512 551256 600696 620163 650268 826884 1240326 1300536 1653768 1860489 2480652 3720978 4961304 5581467 7441956 11162934 14883912 16744401 22325868 33488802 44651736 66977604 133955208