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133666572 = 223133072791
BaseRepresentation
bin1111111011110…
…01011100001100
3100022111222001210
413331321130030
5233204312242
621132534420
73212101314
oct775713414
9308458053
10133666572
11694a6746
1238921410
1321900660
1413a76444
15bb04d9c
hex7f7970c

133666572 has 48 divisors (see below), whose sum is σ = 337094912. Its totient is φ = 40979520.

The previous prime is 133666571. The next prime is 133666573. The reversal of 133666572 is 275666331.

133666572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133666571) and next prime (133666573).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 133666572.

It is not an unprimeable number, because it can be changed into a prime (133666571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46497 + ... + 49287.

Almost surely, 2133666572 is an apocalyptic number.

133666572 is a gapful number since it is divisible by the number (12) 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 133666572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168547456).

133666572 is an abundant number, since it is smaller than the sum of its proper divisors (203428340).

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

133666572 is a wasteful number, since it uses less digits than its factorization.

133666572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3116 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 133666572 is about 11561.4260366098. The cubic root of 133666572 is about 511.2982074050.

The spelling of 133666572 in words is "one hundred thirty-three million, six hundred sixty-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 307 614 921 1228 1842 2791 3684 3991 5582 7982 8373 11164 11973 15964 16746 23946 33492 36283 47892 72566 108849 145132 217698 435396 856837 1713674 2570511 3427348 5141022 10282044 11138881 22277762 33416643 44555524 66833286 133666572