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147084 = 223717103
BaseRepresentation
bin100011111010001100
321110202120
4203322030
514201314
63052540
71151550
oct437214
9243676
10147084
11a0563
1271150
1351c42
143b860
152d8a9
hex23e8c

147084 has 48 divisors (see below), whose sum is σ = 419328. Its totient is φ = 39168.

The previous prime is 147083. The next prime is 147089. The reversal of 147084 is 480741.

147084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147084.

It is not an unprimeable number, because it can be changed into a prime (147083) 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, 1377 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2147084 is an apocalyptic number.

147084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

147084 is an abundant number, since it is smaller than the sum of its proper divisors (272244).

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

147084 is a wasteful number, since it uses less digits than its factorization.

147084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 147084 is about 383.5153191204. The cubic root of 147084 is about 52.7863715974.

The spelling of 147084 in words is "one hundred forty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 103 119 204 206 238 309 357 412 476 618 714 721 1236 1428 1442 1751 2163 2884 3502 4326 5253 7004 8652 10506 12257 21012 24514 36771 49028 73542 147084