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29120364 = 22337132963
BaseRepresentation
bin110111100010…
…1011101101100
32000210110122000
41233011131230
524423322424
62520052300
7502343010
oct157053554
960713560
1029120364
111548a619
129904090
1360577b0
143c20540
1528533c9
hex1bc576c

29120364 has 96 divisors (see below), whose sum is σ = 92951040. Its totient is φ = 7677504.

The previous prime is 29120359. The next prime is 29120393. The reversal of 29120364 is 46302192.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8347 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 229120364 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 29120364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46475520).

29120364 is an abundant number, since it is smaller than the sum of its proper divisors (63830676).

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

29120364 is a wasteful number, since it uses less digits than its factorization.

29120364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 29120364 is about 5396.3287520313. The cubic root of 29120364 is about 307.6561491292.

The spelling of 29120364 in words is "twenty-nine million, one hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 2963 3276 4914 5926 8889 9828 11852 17778 20741 26667 35556 38519 41482 53334 62223 77038 80001 82964 106668 115557 124446 154076 160002 186669 231114 248892 269633 320004 346671 373338 462228 539266 560007 693342 746676 808899 1040013 1078532 1120014 1386684 1617798 2080026 2240028 2426697 3235596 4160052 4853394 7280091 9706788 14560182 29120364