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133712676 = 22323714241
BaseRepresentation
bin1111111100001…
…00101100100100
3100022121022022100
413332010230210
5233212301201
621133532100
73212352606
oct776045444
9308538270
10133712676
1169528349
1238944030
1321918636
1413a89176
15bb13886
hex7f84b24

133712676 has 18 divisors (see below), whose sum is σ = 337996022. Its totient is φ = 44570880.

The previous prime is 133712659. The next prime is 133712681. The reversal of 133712676 is 676217331.

It can be written as a sum of positive squares in only one way, i.e., 80568576 + 53144100 = 8976^2 + 7290^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3714241 = 133712676 / (1 + 3 + 3 + 7 + 1 + 2 + 6 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 133712676.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1857085 + ... + 1857156.

Almost surely, 2133712676 is an apocalyptic number.

It is an amenable number.

133712676 is an abundant number, since it is smaller than the sum of its proper divisors (204283346).

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

133712676 is a wasteful number, since it uses less digits than its factorization.

133712676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714251 (or 3714246 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 133712676 is about 11563.4197363929. The cubic root of 133712676 is about 511.3569859574.

The spelling of 133712676 in words is "one hundred thirty-three million, seven hundred twelve thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 3714241 7428482 11142723 14856964 22285446 33428169 44570892 66856338 133712676