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29002720 = 2551091663
BaseRepresentation
bin110111010100…
…0101111100000
32000120111020211
41232220233200
524411041340
62513343504
7501343015
oct156505740
960514224
1029002720
111540a19a
129867b94
136016096
143bcd70c
15282d5ea
hex1ba8be0

29002720 has 48 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 11487744.

The previous prime is 29002679. The next prime is 29002741. The reversal of 29002720 is 2720092.

It is a junction number, because it is equal to n+sod(n) for n = 29002691 and 29002700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16609 + ... + 18271.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 229002720 is an apocalyptic number.

29002720 is a gapful number since it is divisible by the number (20) 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 29002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

29002720 is an abundant number, since it is smaller than the sum of its proper divisors (40186400).

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

29002720 is a wasteful number, since it uses less digits than its factorization.

29002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 29002720 is about 5385.4173468729. The cubic root of 29002720 is about 307.2412876726.

The spelling of 29002720 in words is "twenty-nine million, two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1663 1744 2180 3326 3488 4360 6652 8315 8720 13304 16630 17440 26608 33260 53216 66520 133040 181267 266080 362534 725068 906335 1450136 1812670 2900272 3625340 5800544 7250680 14501360 29002720