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133010280 = 233251397293
BaseRepresentation
bin1111110110110…
…01001101101000
3100021021121210200
413323121031220
5233022312110
621110512200
73203366034
oct773311550
9307247720
10133010280
1169098657
1238665660
1321730a10
14139451c4
15ba256c0
hex7ed9368

133010280 has 192 divisors, whose sum is σ = 471940560. Its totient is φ = 32292864.

The previous prime is 133010257. The next prime is 133010281. The reversal of 133010280 is 82010331.

It can be written as a sum of positive squares in 8 ways, for example, as 64352484 + 68657796 = 8022^2 + 8286^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133010281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453814 + ... + 454106.

Almost surely, 2133010280 is an apocalyptic number.

133010280 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 133010280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235970280).

133010280 is an abundant number, since it is smaller than the sum of its proper divisors (338930280).

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

133010280 is a wasteful number, since it uses less digits than its factorization.

133010280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 133010280 is about 11533.0082805832. The cubic root of 133010280 is about 510.4600232243.

The spelling of 133010280 in words is "one hundred thirty-three million, ten thousand, two hundred eighty".