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133280640 = 27355857
BaseRepresentation
bin1111111000110…
…11001110000000
3100021210100200000
413330123032000
5233104440030
621120400000
73205603203
oct774331600
9307710600
10133280640
1169262799
1238776000
13217c6aac
14139b593a
15ba7a860
hex7f1b380

133280640 has 192 divisors, whose sum is σ = 477837360. Its totient is φ = 35500032.

The previous prime is 133280599. The next prime is 133280659. The reversal of 133280640 is 46082331.

It is a happy number.

133280640 is a `hidden beast` number, since 13 + 3 + 2 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 155092 + ... + 155948.

Almost surely, 2133280640 is an apocalyptic number.

133280640 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 133280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238918680).

133280640 is an abundant number, since it is smaller than the sum of its proper divisors (344556720).

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

133280640 is an frugal number, since it uses more digits than its factorization.

133280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 133280640 is about 11544.7234700533. The cubic root of 133280640 is about 510.8056470643.

The spelling of 133280640 in words is "one hundred thirty-three million, two hundred eighty thousand, six hundred forty".