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29418380 = 22523312063
BaseRepresentation
bin111000000111…
…0001110001100
32001100121102122
41300032032030
530012342010
62530312112
7505023605
oct160161614
961317378
1029418380
1115673512
129a28638
136130334
143c9adac
1528b1855
hex1c0e38c

29418380 has 48 divisors (see below), whose sum is σ = 66576384. Its totient is φ = 10887360.

The previous prime is 29418379. The next prime is 29418397. The reversal of 29418380 is 8381492.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 29418380.

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 15 ways as a sum of consecutive naturals, for example, 13229 + ... + 15291.

It is an arithmetic number, because the mean of its divisors is an integer number (1387008).

Almost surely, 229418380 is an apocalyptic number.

29418380 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 29418380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33288192).

29418380 is an abundant number, since it is smaller than the sum of its proper divisors (37158004).

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

29418380 is a wasteful number, since it uses less digits than its factorization.

29418380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 29418380 is about 5423.8713111577. The cubic root of 29418380 is about 308.7021004550.

The spelling of 29418380 in words is "twenty-nine million, four hundred eighteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2063 2852 3565 4126 7130 8252 10315 14260 20630 41260 47449 63953 94898 127906 189796 237245 255812 319765 474490 639530 948980 1279060 1470919 2941838 5883676 7354595 14709190 29418380