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133402050 = 23252521569
BaseRepresentation
bin1111111001110…
…00110111000010
3100022000112012200
413330320313002
5233122331200
621123134030
73206620155
oct774706702
9308015180
10133402050
1169335a31
1238814316
132183a132
1413a07c9c
15baa1800
hex7f38dc2

133402050 has 72 divisors (see below), whose sum is σ = 359725860. Its totient is φ = 35443200.

The previous prime is 133402019. The next prime is 133402079. The reversal of 133402050 is 50204331.

It can be written as a sum of positive squares in 6 ways, for example, as 15657849 + 117744201 = 3957^2 + 10851^2 .

It is a super-2 number, since 2×1334020502 = 35592213888405000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234166 + ... + 234734.

Almost surely, 2133402050 is an apocalyptic number.

133402050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133402050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179862930).

133402050 is an abundant number, since it is smaller than the sum of its proper divisors (226323810).

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

133402050 is a wasteful number, since it uses less digits than its factorization.

133402050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 133402050 is about 11549.9805194641. The cubic root of 133402050 is about 510.9607035727.

Adding to 133402050 its reverse (50204331), we get a palindrome (183606381).

The spelling of 133402050 in words is "one hundred thirty-three million, four hundred two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 521 569 1042 1138 1563 1707 2605 2845 3126 3414 4689 5121 5210 5690 7815 8535 9378 10242 13025 14225 15630 17070 23445 25605 26050 28450 39075 42675 46890 51210 78150 85350 117225 128025 234450 256050 296449 592898 889347 1482245 1778694 2668041 2964490 4446735 5336082 7411225 8893470 13340205 14822450 22233675 26680410 44467350 66701025 133402050