Search a number
-
+
133801472 = 297371009
BaseRepresentation
bin1111111100110…
…10011000000000
3100022202211010002
413332122120000
5233223121342
621135455132
73213202520
oct776323000
9308684102
10133801472
1169589032
12389874a8
1321949b8c
1413aad680
15bb2ed32
hex7f9a600

133801472 has 80 divisors (see below), whose sum is σ = 314101920. Its totient is φ = 55738368.

The previous prime is 133801471. The next prime is 133801483. The reversal of 133801472 is 274108331.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133801471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132104 + ... + 133112.

It is an arithmetic number, because the mean of its divisors is an integer number (3926274).

Almost surely, 2133801472 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 133801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157050960).

133801472 is an abundant number, since it is smaller than the sum of its proper divisors (180300448).

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

133801472 is an equidigital number, since it uses as much as digits as its factorization.

133801472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 133801472 is about 11567.2586207796. The cubic root of 133801472 is about 511.4701550022.

The spelling of 133801472 in words is "one hundred thirty-three million, eight hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1009 1036 1184 1792 2018 2072 2368 3584 4036 4144 4736 7063 8072 8288 9472 14126 16144 16576 18944 28252 32288 33152 37333 56504 64576 66304 74666 113008 129152 132608 149332 226016 258304 261331 298664 452032 516608 522662 597328 904064 1045324 1194656 1808128 2090648 2389312 3616256 4181296 4778624 8362592 9557248 16725184 19114496 33450368 66900736 133801472