Search a number
-
+
29003130 = 2335138263
BaseRepresentation
bin110111010100…
…0110101111010
32000120111211000
41232220311322
524411100010
62513345430
7501344142
oct156506572
960514730
1029003130
111540a532
129868276
136016320
143bcd922
15282d7c0
hex1ba8d7a

29003130 has 64 divisors (see below), whose sum is σ = 83301120. Its totient is φ = 7138368.

The previous prime is 29003129. The next prime is 29003131. The reversal of 29003130 is 3130092.

It is an interprime number because it is at equal distance from previous prime (29003129) and next prime (29003131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (29003131) 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, 622 + ... + 7641.

It is an arithmetic number, because the mean of its divisors is an integer number (1301580).

Almost surely, 229003130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29003130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41650560).

29003130 is an abundant number, since it is smaller than the sum of its proper divisors (54297990).

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

29003130 is a wasteful number, since it uses less digits than its factorization.

29003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 29003130 is about 5385.4554124976. The cubic root of 29003130 is about 307.2427354487.

The spelling of 29003130 in words is "twenty-nine million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 8263 16526 24789 41315 49578 74367 82630 107419 123945 148734 214838 223101 247890 322257 371835 446202 537095 644514 743670 966771 1074190 1115505 1611285 1933542 2231010 2900313 3222570 4833855 5800626 9667710 14501565 29003130