Search a number
-
+
147041505 = 32513251353
BaseRepresentation
bin10001100001110…
…10110011100001
3101020200111000200
420300322303201
5300120312010
622331335413
73433555302
oct1060726341
9336614020
10147041505
1176001506
12412b1569
1324604410
14157587a9
15cd97cc0
hex8c3ace1

147041505 has 24 divisors (see below), whose sum is σ = 274478568. Its totient is φ = 72389376.

The previous prime is 147041471. The next prime is 147041509. The reversal of 147041505 is 505140741.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9659664 + 137381841 = 3108^2 + 11721^2 .

It is not a de Polignac number, because 147041505 - 215 = 147008737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147041509) 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 23 ways as a sum of consecutive naturals, for example, 125092 + ... + 126261.

It is an arithmetic number, because the mean of its divisors is an integer number (11436607).

Almost surely, 2147041505 is an apocalyptic number.

147041505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

147041505 is a deficient number, since it is larger than the sum of its proper divisors (127437063).

147041505 is a wasteful number, since it uses less digits than its factorization.

147041505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251377 (or 251374 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 147041505 is about 12126.0671695319. The cubic root of 147041505 is about 527.8128748918.

The spelling of 147041505 in words is "one hundred forty-seven million, forty-one thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 251353 754059 1256765 2262177 3267589 3770295 9802767 11310885 16337945 29408301 49013835 147041505