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147027636 = 223775
BaseRepresentation
bin10001100001101…
…11011010110100
3101020122210000000
420300313122310
5300114341021
622331151300
73433500000
oct1060673264
9336583000
10147027636
1175aa2048
12412a5530
13245cb002
1415753700
15cd93b26
hex8c376b4

147027636 has 144 divisors (see below), whose sum is σ = 450199680. Its totient is φ = 42007896.

The previous prime is 147027631. The next prime is 147027689. The reversal of 147027636 is 636720741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

147027636 is a `hidden beast` number, since 14 + 7 + 0 + 2 + 7 + 636 = 666.

147027636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 147027636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147027631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21003945 + ... + 21003951.

Almost surely, 2147027636 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 147027636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225099840).

147027636 is an abundant number, since it is smaller than the sum of its proper divisors (303172044).

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

147027636 is an frugal number, since it uses more digits than its factorization.

147027636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 147027636 is about 12125.4952888532. The cubic root of 147027636 is about 527.7962798791.

147027636 divided by its sum of digits (36) gives a 5-th power (4084101 = 215).

The spelling of 147027636 in words is "one hundred forty-seven million, twenty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 343 378 441 486 567 588 686 729 756 882 972 1029 1134 1323 1372 1458 1701 1764 2058 2187 2268 2401 2646 2916 3087 3402 3969 4116 4374 4802 5103 5292 6174 6804 7203 7938 8748 9261 9604 10206 11907 12348 14406 15309 15876 16807 18522 20412 21609 23814 27783 28812 30618 33614 35721 37044 43218 47628 50421 55566 61236 64827 67228 71442 83349 86436 100842 107163 111132 129654 142884 151263 166698 194481 201684 214326 250047 259308 302526 333396 388962 428652 453789 500094 583443 605052 750141 777924 907578 1000188 1166886 1361367 1500282 1750329 1815156 2333772 2722734 3000564 3500658 4084101 5250987 5445468 7001316 8168202 10501974 12252303 16336404 21003948 24504606 36756909 49009212 73513818 147027636