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133960 = 23517197
BaseRepresentation
bin100000101101001000
320210202111
4200231020
513241320
62512104
71065361
oct405510
9223674
10133960
1191712
1265634
1348c88
1436b68
1529a5a
hex20b48

133960 has 32 divisors (see below), whose sum is σ = 320760. Its totient is φ = 50176.

The previous prime is 133949. The next prime is 133963. The reversal of 133960 is 69331.

133960 = T8 + T9 + ... + T92.

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 4 = 366^2 + 2^2 .

It is not an unprimeable number, because it can be changed into a prime (133963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582 + ... + 778.

2133960 is an apocalyptic number.

133960 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 133960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160380).

133960 is an abundant number, since it is smaller than the sum of its proper divisors (186800).

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

133960 is a wasteful number, since it uses less digits than its factorization.

133960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 133960 is about 366.0054644401. The cubic root of 133960 is about 51.1672071913.

The spelling of 133960 in words is "one hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 197 340 394 680 788 985 1576 1970 3349 3940 6698 7880 13396 16745 26792 33490 66980 133960