Search a number
-
+
29393920 = 21055741
BaseRepresentation
bin111000000100…
…0010000000000
32001022100212201
41300020100000
530011101140
62530002544
7504562363
oct160102000
961270781
1029393920
11156570a6
129a16454
13612216a
143c920da
1528a949a
hex1c08400

29393920 has 44 divisors (see below), whose sum is σ = 70523244. Its totient is φ = 11755520.

The previous prime is 29393879. The next prime is 29393927. The reversal of 29393920 is 2939392.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 16777216 = 3552^2 + 4096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29393920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29393927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2250 + ... + 7990.

It is an arithmetic number, because the mean of its divisors is an integer number (1602801).

Almost surely, 229393920 is an apocalyptic number.

29393920 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 29393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35261622).

29393920 is an abundant number, since it is smaller than the sum of its proper divisors (41129324).

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

29393920 is an equidigital number, since it uses as much as digits as its factorization.

29393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 29393920 is about 5421.6159952546. The cubic root of 29393920 is about 308.6165196370.

It can be divided in two parts, 2939 and 3920, that added together give a cube (6859 = 193).

The spelling of 29393920 in words is "twenty-nine million, three hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 5741 11482 22964 28705 45928 57410 91856 114820 183712 229640 367424 459280 734848 918560 1469696 1837120 2939392 3674240 5878784 7348480 14696960 29393920