Search a number
-
+
138854304 = 2533160711
BaseRepresentation
bin10000100011010…
…11111110100000
3100200021112022000
420101223332200
5241021314204
621440044000
73304146021
oct1021537640
9320245260
10138854304
117141a326
123a603600
13229c8a14
1414626c48
15c2cc039
hex846bfa0

138854304 has 48 divisors (see below), whose sum is σ = 404994240. Its totient is φ = 46284480.

The previous prime is 138854293. The next prime is 138854327. The reversal of 138854304 is 403458831.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 79492 + ... + 81219.

It is an arithmetic number, because the mean of its divisors is an integer number (8437380).

Almost surely, 2138854304 is an apocalyptic number.

It is an amenable number.

138854304 is an abundant number, since it is smaller than the sum of its proper divisors (266139936).

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

138854304 is a wasteful number, since it uses less digits than its factorization.

138854304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160730 (or 160716 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 138854304 is about 11783.6456158525. The cubic root of 138854304 is about 517.8290954408.

The spelling of 138854304 in words is "one hundred thirty-eight million, eight hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 160711 321422 482133 642844 964266 1285688 1446399 1928532 2571376 2892798 3857064 4339197 5142752 5785596 7714128 8678394 11571192 15428256 17356788 23142384 34713576 46284768 69427152 138854304