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147204 = 22332947
BaseRepresentation
bin100011111100000100
321110221000
4203330010
514202304
63053300
71152111
oct437404
9243830
10147204
11a0662
1271230
1352005
143b908
152d939
hex23f04

147204 has 48 divisors (see below), whose sum is σ = 403200. Its totient is φ = 46368.

The previous prime is 147197. The next prime is 147209. The reversal of 147204 is 402741.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (147209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2147204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

147204 is an abundant number, since it is smaller than the sum of its proper divisors (255996).

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

147204 is a wasteful number, since it uses less digits than its factorization.

147204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

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

The square root of 147204 is about 383.6717346900. The cubic root of 147204 is about 52.8007231306.

Adding to 147204 its reverse (402741), we get a palindrome (549945).

It can be divided in two parts, 147 and 204, that added together give a triangular number (351 = T26).

The spelling of 147204 in words is "one hundred forty-seven thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 29 36 47 54 58 87 94 108 116 141 174 188 261 282 348 423 522 564 783 846 1044 1269 1363 1566 1692 2538 2726 3132 4089 5076 5452 8178 12267 16356 24534 36801 49068 73602 147204