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133043220 = 223251096781
BaseRepresentation
bin1111110111000…
…01010000010100
3100021100021222200
413323201100110
5233024340340
621111324500
73203564052
oct773412024
9307307880
10133043220
1169110382
1238680730
13217429cb
14139531d2
15ba30330
hex7ee1414

133043220 has 72 divisors (see below), whose sum is σ = 407326920. Its totient is φ = 35147520.

The previous prime is 133043191. The next prime is 133043269. The reversal of 133043220 is 22340331.

It can be written as a sum of positive squares in 4 ways, for example, as 19236996 + 113806224 = 4386^2 + 10668^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133043193 and 133043202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16230 + ... + 23010.

Almost surely, 2133043220 is an apocalyptic number.

133043220 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 133043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203663460).

133043220 is an abundant number, since it is smaller than the sum of its proper divisors (274283700).

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

133043220 is a wasteful number, since it uses less digits than its factorization.

133043220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133043220 is about 11534.4362671090. The cubic root of 133043220 is about 510.5021582265.

Adding to 133043220 its reverse (22340331), we get a palindrome (155383551).

The spelling of 133043220 in words is "one hundred thirty-three million, forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 6781 9810 13562 19620 20343 27124 33905 40686 61029 67810 81372 101715 122058 135620 203430 244116 305145 406860 610290 739129 1220580 1478258 2217387 2956516 3695645 4434774 6652161 7391290 8869548 11086935 13304322 14782580 22173870 26608644 33260805 44347740 66521610 133043220