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29305071 = 3661659
BaseRepresentation
bin110111111001…
…0100011101111
32001010212000000
41233302203233
530000230241
62524035343
7504042345
oct157624357
961125000
1029305071
11155a6374
129992b53
1360c08a3
143c6b995
15288ceb6
hex1bf28ef

29305071 has 28 divisors (see below), whose sum is σ = 44725560. Its totient is φ = 19187280.

The previous prime is 29305069. The next prime is 29305079. The reversal of 29305071 is 17050392.

It is not a de Polignac number, because 29305071 - 21 = 29305069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29305079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 44140 + ... + 44798.

Almost surely, 229305071 is an apocalyptic number.

29305071 is a deficient number, since it is larger than the sum of its proper divisors (15420489).

29305071 is an frugal number, since it uses more digits than its factorization.

29305071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 29305071 is about 5413.4158347572. The cubic root of 29305071 is about 308.3052540942.

It can be divided in two parts, 2930 and 5071, that added together give a triangular number (8001 = T126).

The spelling of 29305071 in words is "twenty-nine million, three hundred five thousand, seventy-one".

Divisors: 1 3 9 27 61 81 183 243 549 659 729 1647 1977 4941 5931 14823 17793 40199 44469 53379 120597 160137 361791 480411 1085373 3256119 9768357 29305071