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29307136 = 28239479
BaseRepresentation
bin110111111001…
…1000100000000
32001010221211111
41233303010000
530000312021
62524053104
7504051355
oct157630400
961127744
1029307136
11155a7981
129994194
1360c1801
143c6c62c
15288d8e1
hex1bf3100

29307136 has 36 divisors (see below), whose sum is σ = 58867200. Its totient is φ = 14561792.

The previous prime is 29307127. The next prime is 29307143. The reversal of 29307136 is 63170392.

It is a junction number, because it is equal to n+sod(n) for n = 29307098 and 29307107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60945 + ... + 61423.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 229307136 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 29307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29433600).

29307136 is an abundant number, since it is smaller than the sum of its proper divisors (29560064).

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

29307136 is an equidigital number, since it uses as much as digits as its factorization.

29307136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 29307136 is about 5413.6065612492. The cubic root of 29307136 is about 308.3124955644.

The spelling of 29307136 in words is "twenty-nine million, three hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 479 956 958 1912 1916 3824 3832 7648 7664 15296 15328 30592 30656 61184 61312 114481 122624 228962 457924 915848 1831696 3663392 7326784 14653568 29307136