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133236480 = 28351317157
BaseRepresentation
bin1111111000100…
…00011100000000
3100021201010002110
413330100130000
5233102031410
621115415320
73205330356
oct774203400
9307633073
10133236480
11692325a3
1238754540
13217ac970
14139a37d6
15ba6c720
hex7f10700

133236480 has 288 divisors, whose sum is σ = 488303424. Its totient is φ = 30670848.

The previous prime is 133236451. The next prime is 133236487. The reversal of 133236480 is 84632331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133236487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848562 + ... + 848718.

It is an arithmetic number, because the mean of its divisors is an integer number (1695498).

Almost surely, 2133236480 is an apocalyptic number.

133236480 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 133236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244151712).

133236480 is an abundant number, since it is smaller than the sum of its proper divisors (355066944).

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

133236480 is a wasteful number, since it uses less digits than its factorization.

133236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 133236480 is about 11542.8107495532. The cubic root of 133236480 is about 510.7492255937.

The spelling of 133236480 in words is "one hundred thirty-three million, two hundred thirty-six thousand, four hundred eighty".