Search a number
-
+
29983320 = 23325372251
BaseRepresentation
bin111001001100…
…0001001011000
32002102022101100
41302120021120
530133431240
62550351400
7512565633
oct162301130
962368340
1029983320
1115a19a04
12a05b560
13629a513
143da6c1a
152973e30
hex1c98258

29983320 has 96 divisors (see below), whose sum is σ = 100123920. Its totient is φ = 7776000.

The previous prime is 29983309. The next prime is 29983337. The reversal of 29983320 is 2338992.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12195 + ... + 14445.

Almost surely, 229983320 is an apocalyptic number.

29983320 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 29983320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50061960).

29983320 is an abundant number, since it is smaller than the sum of its proper divisors (70140600).

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

29983320 is a wasteful number, since it uses less digits than its factorization.

29983320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 29983320 is about 5475.7026946320. The cubic root of 29983320 is about 310.6656525435.

It can be divided in two parts, 29983 and 320, that added together give a palindrome (30303).

The spelling of 29983320 in words is "twenty-nine million, nine hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2251 2664 3330 4440 4502 6660 6753 9004 11255 13320 13506 18008 20259 22510 27012 33765 40518 45020 54024 67530 81036 83287 90040 101295 135060 162072 166574 202590 249861 270120 333148 405180 416435 499722 666296 749583 810360 832870 999444 1249305 1499166 1665740 1998888 2498610 2998332 3331480 3747915 4997220 5996664 7495830 9994440 14991660 29983320