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147681 = 3261269
BaseRepresentation
bin100100000011100001
321111120200
4210003201
514211211
63055413
71153362
oct440341
9244520
10147681
11a0a56
1271569
13522b1
143bb69
152db56
hex240e1

147681 has 12 divisors (see below), whose sum is σ = 217620. Its totient is φ = 96480.

The previous prime is 147673. The next prime is 147689. The reversal of 147681 is 186741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (147673) and next prime (147689).

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 140625 = 84^2 + 375^2 .

It is not a de Polignac number, because 147681 - 23 = 147673 is a prime.

It is a super-2 number, since 2×1476812 = 43619355522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1344) is a multiple of the sum of its prime factors (336).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147681.

It is not an unprimeable number, because it can be changed into a prime (147689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2147681 is an apocalyptic number.

It is an amenable number.

147681 is a deficient number, since it is larger than the sum of its proper divisors (69939).

147681 is a wasteful number, since it uses less digits than its factorization.

147681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 147681 is about 384.2928570765. The cubic root of 147681 is about 52.8576934793.

Subtracting 147681 from its reverse (186741), we obtain a triangular number (39060 = T279).

It can be divided in two parts, 147 and 681, that added together give a palindrome (828).

The spelling of 147681 in words is "one hundred forty-seven thousand, six hundred eighty-one".

Divisors: 1 3 9 61 183 269 549 807 2421 16409 49227 147681