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133965828 = 22323721273
BaseRepresentation
bin1111111110000…
…10100000000100
3100100002011120100
413333002200010
5233243401303
621143204100
73214455633
oct777024004
9310064510
10133965828
1169690567
1238a46630
13219a6929
1413b1351a
15bb638a3
hex7fc2804

133965828 has 18 divisors (see below), whose sum is σ = 338635934. Its totient is φ = 44655264.

The previous prime is 133965791. The next prime is 133965829. The reversal of 133965828 is 828569331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81866304 + 52099524 = 9048^2 + 7218^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (133965829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1860601 + ... + 1860672.

Almost surely, 2133965828 is an apocalyptic number.

133965828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133965828 is an abundant number, since it is smaller than the sum of its proper divisors (204670106).

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

133965828 is a wasteful number, since it uses less digits than its factorization.

133965828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721283 (or 3721278 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 133965828 is about 11574.3608030854. The cubic root of 133965828 is about 511.6794919926.

The spelling of 133965828 in words is "one hundred thirty-three million, nine hundred sixty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3721273 7442546 11163819 14885092 22327638 33491457 44655276 66982914 133965828