Search a number
-
+
29383680 = 210351913
BaseRepresentation
bin111000000010…
…1110000000000
32001021211211110
41300011300000
530010234210
62525443320
7504520464
oct160056000
961254743
1029383680
111564a437
129a10540
13611a5c1
143c8c4a4
1528a6420
hex1c05c00

29383680 has 88 divisors (see below), whose sum is σ = 94030992. Its totient is φ = 7831552.

The previous prime is 29383657. The next prime is 29383687. The reversal of 29383680 is 8638392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29383687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14404 + ... + 16316.

It is an arithmetic number, because the mean of its divisors is an integer number (1068534).

Almost surely, 229383680 is an apocalyptic number.

29383680 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 29383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47015496).

29383680 is an abundant number, since it is smaller than the sum of its proper divisors (64647312).

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

29383680 is a wasteful number, since it uses less digits than its factorization.

29383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 29383680 is about 5420.6715451132. The cubic root of 29383680 is about 308.5806777553.

The spelling of 29383680 in words is "twenty-nine million, three hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1913 1920 2560 3072 3826 3840 5120 5739 7652 7680 9565 11478 15304 15360 19130 22956 28695 30608 38260 45912 57390 61216 76520 91824 114780 122432 153040 183648 229560 244864 306080 367296 459120 489728 612160 734592 918240 979456 1224320 1469184 1836480 1958912 2448640 2938368 3672960 4897280 5876736 7345920 9794560 14691840 29383680