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29669080 = 23571723271
BaseRepresentation
bin111000100101…
…1011011011000
32001211100022211
41301023123120
530043402310
62535524504
7510116530
oct161133330
961740284
1029669080
1115824901
129b29734
1361ba48c
143d244c0
152910c8a
hex1c4b6d8

29669080 has 128 divisors (see below), whose sum is σ = 84602880. Its totient is φ = 9123840.

The previous prime is 29669041. The next prime is 29669083. The reversal of 29669080 is 8096692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29669083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109345 + ... + 109615.

It is an arithmetic number, because the mean of its divisors is an integer number (660960).

Almost surely, 229669080 is an apocalyptic number.

29669080 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 29669080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301440).

29669080 is an abundant number, since it is smaller than the sum of its proper divisors (54933800).

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

29669080 is a wasteful number, since it uses less digits than its factorization.

29669080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 29669080 is about 5446.9330820196. The cubic root of 29669080 is about 309.5765289669.

The spelling of 29669080 in words is "twenty-nine million, six hundred sixty-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 23 28 34 35 40 46 56 68 70 85 92 115 119 136 140 161 170 184 230 238 271 280 322 340 391 460 476 542 595 644 680 782 805 920 952 1084 1190 1288 1355 1564 1610 1897 1955 2168 2380 2710 2737 3128 3220 3794 3910 4607 4760 5420 5474 6233 6440 7588 7820 9214 9485 10840 10948 12466 13685 15176 15640 18428 18970 21896 23035 24932 27370 31165 32249 36856 37940 43631 46070 49864 54740 62330 64498 75880 87262 92140 105961 109480 124660 128996 161245 174524 184280 211922 218155 249320 257992 322490 349048 423844 436310 529805 644980 741727 847688 872620 1059610 1289960 1483454 1745240 2119220 2966908 3708635 4238440 5933816 7417270 14834540 29669080