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133332700 = 225217107733
BaseRepresentation
bin1111111001001…
…11111011011100
3100021220000002011
413330213323130
5233113121300
621121441004
73206211034
oct774477334
9307800064
10133332700
1169298916
12387a0164
13218146b7
14139ca8c4
15ba8aeba
hex7f27edc

133332700 has 72 divisors (see below), whose sum is σ = 309636432. Its totient is φ = 49658880.

The previous prime is 133332677. The next prime is 133332701. The reversal of 133332700 is 7233331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133332701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181534 + ... + 182266.

It is an arithmetic number, because the mean of its divisors is an integer number (4300506).

Almost surely, 2133332700 is an apocalyptic number.

133332700 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 133332700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154818216).

133332700 is an abundant number, since it is smaller than the sum of its proper divisors (176303732).

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

133332700 is a wasteful number, since it uses less digits than its factorization.

133332700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 22.

The square root of 133332700 is about 11546.9779596222. The cubic root of 133332700 is about 510.8721460456.

The spelling of 133332700 in words is "one hundred thirty-three million, three hundred thirty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 340 425 428 535 733 850 1070 1466 1700 1819 2140 2675 2932 3638 3665 5350 7276 7330 9095 10700 12461 14660 18190 18325 24922 36380 36650 45475 49844 62305 73300 78431 90950 124610 156862 181900 249220 311525 313724 392155 623050 784310 1246100 1333327 1568620 1960775 2666654 3921550 5333308 6666635 7843100 13333270 26666540 33333175 66666350 133332700