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29730030 = 23511233917
BaseRepresentation
bin111000101101…
…0010011101110
32001221102221020
41301122103232
530102330110
62541115010
7510462321
oct161322356
961842836
1029730030
1115866680
129b58a66
13620c145
143d3c7b8
152923d70
hex1c5a4ee

29730030 has 64 divisors (see below), whose sum is σ = 81243648. Its totient is φ = 6892160.

The previous prime is 29730011. The next prime is 29730031. The reversal of 29730030 is 3003792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29730031) 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, 5632 + ... + 9548.

It is an arithmetic number, because the mean of its divisors is an integer number (1269432).

Almost surely, 229730030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29730030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40621824).

29730030 is an abundant number, since it is smaller than the sum of its proper divisors (51513618).

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

29730030 is a wasteful number, since it uses less digits than its factorization.

29730030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 29730030 is about 5452.5251031059. The cubic root of 29730030 is about 309.7883744679.

The spelling of 29730030 in words is "twenty-nine million, seven hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 3917 7590 7834 11751 19585 23502 39170 43087 58755 86174 90091 117510 129261 180182 215435 258522 270273 430870 450455 540546 646305 900910 991001 1292610 1351365 1982002 2702730 2973003 4955005 5946006 9910010 14865015 29730030