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133189050 = 235217192749
BaseRepresentation
bin1111111000001…
…00110110111010
3100021121201000210
413330010312322
5233044022200
621114411550
73205042161
oct774046672
9307551023
10133189050
11691aa9a5
1238730bb6
13217941b7
14139903d8
15ba5d650
hex7f04dba

133189050 has 96 divisors (see below), whose sum is σ = 368280000. Its totient is φ = 31656960.

The previous prime is 133188983. The next prime is 133189057. The reversal of 133189050 is 50981331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133188999 and 133189017.

It is not an unprimeable number, because it can be changed into a prime (133189057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47076 + ... + 49824.

It is an arithmetic number, because the mean of its divisors is an integer number (3836250).

Almost surely, 2133189050 is an apocalyptic number.

133189050 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 133189050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184140000).

133189050 is an abundant number, since it is smaller than the sum of its proper divisors (235090950).

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

133189050 is a wasteful number, since it uses less digits than its factorization.

133189050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 133189050 is about 11540.7560410919. The cubic root of 133189050 is about 510.6886122870.

The spelling of 133189050 in words is "one hundred thirty-three million, one hundred eighty-nine thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 150 170 190 255 285 323 425 475 510 570 646 850 950 969 1275 1425 1615 1938 2550 2749 2850 3230 4845 5498 8075 8247 9690 13745 16150 16494 24225 27490 41235 46733 48450 52231 68725 82470 93466 104462 137450 140199 156693 206175 233665 261155 280398 313386 412350 467330 522310 700995 783465 887927 1168325 1305775 1401990 1566930 1775854 2336650 2611550 2663781 3504975 3917325 4439635 5327562 7009950 7834650 8879270 13318905 22198175 26637810 44396350 66594525 133189050