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29013138 = 2327113173
BaseRepresentation
bin110111010101…
…1010010010010
32000121000112200
41232223102102
524411410023
62513504030
7501415260
oct156532222
960530480
1029013138
1115417000
129872016
13601aa4b
143bd3430
152831743
hex1bab492

29013138 has 96 divisors (see below), whose sum is σ = 79477632. Its totient is φ = 7492320.

The previous prime is 29013121. The next prime is 29013163. The reversal of 29013138 is 83131092.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 167620 + ... + 167792.

It is an arithmetic number, because the mean of its divisors is an integer number (827892).

Almost surely, 229013138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29013138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39738816).

29013138 is an abundant number, since it is smaller than the sum of its proper divisors (50464494).

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

29013138 is a wasteful number, since it uses less digits than its factorization.

29013138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29013138 is about 5386.3845016857. The cubic root of 29013138 is about 307.2780710796.

The spelling of 29013138 in words is "twenty-nine million, thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 173 198 231 242 346 363 462 519 693 726 847 1038 1089 1211 1331 1386 1557 1694 1903 2178 2422 2541 2662 3114 3633 3806 3993 5082 5709 7266 7623 7986 9317 10899 11418 11979 13321 15246 17127 18634 20933 21798 23958 26642 27951 34254 39963 41866 55902 62799 79926 83853 119889 125598 146531 167706 188397 230263 239778 293062 376794 439593 460526 690789 879186 1318779 1381578 1611841 2072367 2637558 3223682 4144734 4835523 9671046 14506569 29013138