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147641 = 1341277
BaseRepresentation
bin100100000010111001
321111112012
4210002321
514211031
63055305
71153304
oct440271
9244465
10147641
11a0a1a
1271535
1352280
143bb3b
152db2b
hex240b9

147641 has 8 divisors (see below), whose sum is σ = 163464. Its totient is φ = 132480.

The previous prime is 147629. The next prime is 147647. The reversal of 147641 is 146741.

It can be written as a sum of positive squares in 4 ways, for example, as 10000 + 137641 = 100^2 + 371^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 147641 - 210 = 146617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147641.

It is not an unprimeable number, because it can be changed into a prime (147647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (20433).

2147641 is an apocalyptic number.

It is an amenable number.

147641 is a deficient number, since it is larger than the sum of its proper divisors (15823).

147641 is a wasteful number, since it uses less digits than its factorization.

147641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331.

The product of its digits is 672, while the sum is 23.

The square root of 147641 is about 384.2408099096. The cubic root of 147641 is about 52.8529208078.

Subtracting from 147641 its reverse (146741), we obtain a square (900 = 302).

It can be divided in two parts, 1476 and 41, that multiplied together give a square (60516 = 2462).

The spelling of 147641 in words is "one hundred forty-seven thousand, six hundred forty-one".

Divisors: 1 13 41 277 533 3601 11357 147641