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29704290 = 23572112167
BaseRepresentation
bin111000101010…
…0000001100010
32001220010121220
41301110001202
530101014130
62540355510
7510324300
oct161240142
961803556
1029704290
1115849300
129b45b96
136200505
143d33270
15291b410
hex1c54062

29704290 has 144 divisors (see below), whose sum is σ = 91699776. Its totient is φ = 6135360.

The previous prime is 29704261. The next prime is 29704291. The reversal of 29704290 is 9240792.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29704291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177787 + ... + 177953.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 229704290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29704290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45849888).

29704290 is an abundant number, since it is smaller than the sum of its proper divisors (61995486).

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

29704290 is a wasteful number, since it uses less digits than its factorization.

29704290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 29704290 is about 5450.1642177094. The cubic root of 29704290 is about 309.6989446318.

It can be divided in two parts, 2970 and 4290, that added together give a triangular number (7260 = T120).

The spelling of 29704290 in words is "twenty-nine million, seven hundred four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 121 147 154 165 167 210 231 242 245 294 330 334 363 385 462 490 501 539 605 726 735 770 835 847 1002 1078 1155 1169 1210 1470 1617 1670 1694 1815 1837 2310 2338 2505 2541 2695 3234 3507 3630 3674 4235 5010 5082 5390 5511 5845 5929 7014 8085 8183 8470 9185 11022 11690 11858 12705 12859 16170 16366 17535 17787 18370 20207 24549 25410 25718 27555 29645 35070 35574 38577 40414 40915 49098 55110 59290 60621 64295 77154 81830 88935 90013 101035 121242 122745 128590 141449 177870 180026 192885 202070 245490 270039 282898 303105 385770 424347 450065 540078 606210 707245 848694 900130 990143 1350195 1414490 1980286 2121735 2700390 2970429 4243470 4950715 5940858 9901430 14852145 29704290