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133264530 = 232571723541
BaseRepresentation
bin1111111000101…
…11010010010010
3100021202112120100
413330113102102
5233103431110
621120153230
73205505220
oct774272222
9307675510
10133264530
1169251683
1238768816
13217bc669
14139adb10
15ba75bc0
hex7f17492

133264530 has 192 divisors, whose sum is σ = 438317568. Its totient is φ = 27371520.

The previous prime is 133264519. The next prime is 133264561. The reversal of 133264530 is 35462331.

It is a happy number.

133264530 is a `hidden beast` number, since 13 + 3 + 2 + 645 + 3 + 0 = 666.

It is a super-2 number, since 2×1332645302 = 35518869912241800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133264494 and 133264503.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246060 + ... + 246600.

It is an arithmetic number, because the mean of its divisors is an integer number (2282904).

Almost surely, 2133264530 is an apocalyptic number.

133264530 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 133264530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219158784).

133264530 is an abundant number, since it is smaller than the sum of its proper divisors (305053038).

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

133264530 is a wasteful number, since it uses less digits than its factorization.

133264530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133264530 is about 11544.0257276221. The cubic root of 133264530 is about 510.7850654040.

The spelling of 133264530 in words is "one hundred thirty-three million, two hundred sixty-four thousand, five hundred thirty".