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133200304 = 24173115797
BaseRepresentation
bin1111111000001…
…11100110110000
3100021122021110121
413330013212300
5233044402204
621114540024
73205120036
oct774074660
9307567417
10133200304
11692083a6
1238737614
1321799363
1413994556
15ba61b54
hex7f079b0

133200304 has 40 divisors (see below), whose sum is σ = 282089088. Its totient is φ = 60656640.

The previous prime is 133200281. The next prime is 133200307. The reversal of 133200304 is 403002331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (133200307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 16330.

Almost surely, 2133200304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141044544).

133200304 is an abundant number, since it is smaller than the sum of its proper divisors (148888784).

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

133200304 is a wasteful number, since it uses less digits than its factorization.

133200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15853 (or 15847 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 133200304 is about 11541.2436071682. The cubic root of 133200304 is about 510.7029956710.

Adding to 133200304 its reverse (403002331), we get a palindrome (536202635).

The spelling of 133200304 in words is "one hundred thirty-three million, two hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 15797 31594 63188 126376 252752 268549 489707 537098 979414 1074196 1958828 2148392 3917656 4296784 7835312 8325019 16650038 33300076 66600152 133200304