Search a number
-
+
29143200 = 2535212143
BaseRepresentation
bin110111100101…
…1000010100000
32000211121221210
41233023002200
524430040300
62520350120
7502466412
oct157130240
960747853
1029143200
11154a5799
129915340
136064cc8
143c289b2
15285a050
hex1bcb0a0

29143200 has 72 divisors (see below), whose sum is σ = 94868928. Its totient is φ = 7770880.

The previous prime is 29143199. The next prime is 29143211. The reversal of 29143200 is 234192.

It is a super-2 number, since 2×291432002 = 1698652212480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 3672 + ... + 8471.

It is an arithmetic number, because the mean of its divisors is an integer number (1317624).

Almost surely, 229143200 is an apocalyptic number.

29143200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29143200 is an abundant number, since it is smaller than the sum of its proper divisors (65725728).

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

29143200 is a wasteful number, since it uses less digits than its factorization.

29143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 29143200 is about 5398.4442203287. Note that the first 3 decimals coincide. The cubic root of 29143200 is about 307.7365487668.

Adding to 29143200 its reverse (234192), we get a palindrome (29377392).

The spelling of 29143200 in words is "twenty-nine million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 12143 24286 36429 48572 60715 72858 97144 121430 145716 182145 194288 242860 291432 303575 364290 388576 485720 582864 607150 728580 910725 971440 1165728 1214300 1457160 1821450 1942880 2428600 2914320 3642900 4857200 5828640 7285800 9714400 14571600 29143200