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133536450 = 23521974519
BaseRepresentation
bin1111111010110…
…01101011000010
3100022021100120110
413331121223002
5233141131300
621130052150
73211020045
oct775315302
9308240513
10133536450
1169417a03
123887a056
1321886368
1413a40c5c
15bacb550
hex7f59ac2

133536450 has 48 divisors (see below), whose sum is σ = 332925120. Its totient is φ = 35421120.

The previous prime is 133536449. The next prime is 133536463. The reversal of 133536450 is 54635331.

It is a happy number.

It is a super-3 number, since 3×1335364503 (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27291 + ... + 31809.

It is an arithmetic number, because the mean of its divisors is an integer number (6935940).

Almost surely, 2133536450 is an apocalyptic number.

133536450 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 133536450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166462560).

133536450 is an abundant number, since it is smaller than the sum of its proper divisors (199388670).

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

133536450 is a wasteful number, since it uses less digits than its factorization.

133536450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 133536450 is about 11555.7972464041. The cubic root of 133536450 is about 511.1322403398.

The spelling of 133536450 in words is "one hundred thirty-three million, five hundred thirty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 197 394 591 985 1182 1970 2955 4519 4925 5910 9038 9850 13557 14775 22595 27114 29550 45190 67785 112975 135570 225950 338925 677850 890243 1780486 2670729 4451215 5341458 8902430 13353645 22256075 26707290 44512150 66768225 133536450