Search a number
-
+
29308020 = 22357312251
BaseRepresentation
bin110111111001…
…1010001110100
32001011000001020
41233303101310
530000324040
62524101140
7504054060
oct157632164
961130036
1029308020
11155a8605
1299947b0
1360c2031
143c6caa0
15288dcd0
hex1bf3474

29308020 has 96 divisors (see below), whose sum is σ = 96854016. Its totient is φ = 6480000.

The previous prime is 29307991. The next prime is 29308021. The reversal of 29308020 is 2080392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29308021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11895 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (1008896).

Almost surely, 229308020 is an apocalyptic number.

29308020 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 29308020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48427008).

29308020 is an abundant number, since it is smaller than the sum of its proper divisors (67545996).

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

29308020 is a wasteful number, since it uses less digits than its factorization.

29308020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 29308020 is about 5413.6882067589. The cubic root of 29308020 is about 308.3155954409.

The spelling of 29308020 in words is "twenty-nine million, three hundred eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2251 2604 3255 4340 4502 6510 6753 9004 11255 13020 13506 15757 22510 27012 31514 33765 45020 47271 63028 67530 69781 78785 94542 135060 139562 157570 189084 209343 236355 279124 315140 348905 418686 472710 488467 697810 837372 945420 976934 1046715 1395620 1465401 1953868 2093430 2442335 2930802 4186860 4884670 5861604 7327005 9769340 14654010 29308020