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133380450 = 232527223263
BaseRepresentation
bin1111111001100…
…11100101100010
3100021222102120200
413330303211202
5233121133300
621122450030
73206500200
oct774634542
9307872520
10133380450
1169320785
1238803916
1321830358
1413a00070
15ba9a200
hex7f33962

133380450 has 216 divisors, whose sum is σ = 436632768. Its totient is φ = 29050560.

The previous prime is 133380439. The next prime is 133380491. The reversal of 133380450 is 54083331.

It is a happy number.

133380450 is a `hidden beast` number, since 133 + 3 + 80 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 507019 + ... + 507281.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448).

Almost surely, 2133380450 is an apocalyptic number.

133380450 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 133380450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

133380450 is an abundant number, since it is smaller than the sum of its proper divisors (303252318).

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

133380450 is a wasteful number, since it uses less digits than its factorization.

133380450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133380450 is about 11549.0454150982. The cubic root of 133380450 is about 510.9331244189.

The spelling of 133380450 in words is "one hundred thirty-three million, three hundred eighty thousand, four hundred fifty".