Search a number
-
+
133740384 = 25310912781
BaseRepresentation
bin1111111100010…
…11011101100000
3100022122201022120
413332023131200
5233214143014
621134304240
73212526441
oct776133540
9308581276
10133740384
1169547148
1238958080
132192812b
1413a952c8
15bb1bba9
hex7f8b760

133740384 has 48 divisors (see below), whose sum is σ = 354317040. Its totient is φ = 44167680.

The previous prime is 133740367. The next prime is 133740391. The reversal of 133740384 is 483047331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4074 + ... + 16854.

It is an arithmetic number, because the mean of its divisors is an integer number (7381605).

Almost surely, 2133740384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133740384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177158520).

133740384 is an abundant number, since it is smaller than the sum of its proper divisors (220576656).

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

133740384 is a wasteful number, since it uses less digits than its factorization.

133740384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12903 (or 12895 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 133740384 is about 11564.6177628143. The cubic root of 133740384 is about 511.3923047250.

The spelling of 133740384 in words is "one hundred thirty-three million, seven hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 10464 12781 25562 38343 51124 76686 102248 153372 204496 306744 408992 613488 1226976 1393129 2786258 4179387 5572516 8358774 11145032 16717548 22290064 33435096 44580128 66870192 133740384