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133868520 = 23325371857
BaseRepresentation
bin1111111101010…
…10101111101000
3100022220020002100
413332222233220
5233232243040
621141133400
73213602142
oct776525750
9308806070
10133868520
1169624445
12389ba260
1321971556
1413ac9c92
15bb44b30
hex7faabe8

133868520 has 48 divisors (see below), whose sum is σ = 435073860. Its totient is φ = 35698176.

The previous prime is 133868491. The next prime is 133868521. The reversal of 133868520 is 25868331.

It can be written as a sum of positive squares in 2 ways, for example, as 132296004 + 1572516 = 11502^2 + 1254^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133868521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185569 + ... + 186288.

Almost surely, 2133868520 is an apocalyptic number.

133868520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133868520 is an abundant number, since it is smaller than the sum of its proper divisors (301205340).

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

133868520 is a wasteful number, since it uses less digits than its factorization.

133868520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371874 (or 371867 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 133868520 is about 11570.1564380090. The cubic root of 133868520 is about 511.5555734059. Note that the first 4 decimals are identical.

The spelling of 133868520 in words is "one hundred thirty-three million, eight hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 371857 743714 1115571 1487428 1859285 2231142 2974856 3346713 3718570 4462284 5577855 6693426 7437140 8924568 11155710 13386852 14874280 16733565 22311420 26773704 33467130 44622840 66934260 133868520