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29969712 = 2432732851
BaseRepresentation
bin111001001010…
…0110100110000
32002101121201100
41302110310300
530133012322
62550204400
7512511153
oct162246460
962347640
1029969712
1115a0a763
12a053700
136294276
143da1c9a
15296edac
hex1c94d30

29969712 has 60 divisors (see below), whose sum is σ = 85052344. Its totient is φ = 9849600.

The previous prime is 29969701. The next prime is 29969717. The reversal of 29969712 is 21796992.

It is not an unprimeable number, because it can be changed into a prime (29969717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9087 + ... + 11937.

Almost surely, 229969712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29969712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42526172).

29969712 is an abundant number, since it is smaller than the sum of its proper divisors (55082632).

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

29969712 is a wasteful number, since it uses less digits than its factorization.

29969712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2929 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 29969712 is about 5474.4599733672. The cubic root of 29969712 is about 310.6186466535.

The spelling of 29969712 in words is "twenty-nine million, nine hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 2851 3504 5256 5702 8553 10512 11404 17106 22808 25659 34212 45616 51318 68424 102636 136848 205272 208123 410544 416246 624369 832492 1248738 1664984 1873107 2497476 3329968 3746214 4994952 7492428 9989904 14984856 29969712