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147024 = 24321021
BaseRepresentation
bin100011111001010000
321110200100
4203321100
514201044
63052400
71151433
oct437120
9243610
10147024
11a0509
1271100
1351bc7
143b81a
152d869
hex23e50

147024 has 30 divisors (see below), whose sum is σ = 411866. Its totient is φ = 48960.

The previous prime is 147011. The next prime is 147029. The reversal of 147024 is 420741.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 17424 = 360^2 + 132^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 146988 and 147006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 367 + ... + 654.

2147024 is an apocalyptic number.

It is an amenable number.

147024 is an abundant number, since it is smaller than the sum of its proper divisors (264842).

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

147024 is a wasteful number, since it uses less digits than its factorization.

147024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 147024 is about 383.4370874081. The cubic root of 147024 is about 52.7791929035.

Adding to 147024 its reverse (420741), we get a palindrome (567765).

It can be divided in two parts, 14702 and 4, that added together give a triangular number (14706 = T171).

The spelling of 147024 in words is "one hundred forty-seven thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1021 2042 3063 4084 6126 8168 9189 12252 16336 18378 24504 36756 49008 73512 147024