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29055060 = 223253141127
BaseRepresentation
bin110111011010…
…1100001010100
32000200011001100
41232311201110
524414230220
62514430100
7501651426
oct156654124
960604040
1029055060
1115445551
129892330
136033b58
143c04816
15283dd90
hex1bb5854

29055060 has 144 divisors (see below), whose sum is σ = 93929472. Its totient is φ = 7257600.

The previous prime is 29055053. The next prime is 29055067. The reversal of 29055060 is 6055092.

It is an interprime number because it is at equal distance from previous prime (29055053) and next prime (29055067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29055067) 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 47 ways as a sum of consecutive naturals, for example, 228717 + ... + 228843.

It is an arithmetic number, because the mean of its divisors is an integer number (652288).

Almost surely, 229055060 is an apocalyptic number.

29055060 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 29055060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46964736).

29055060 is an abundant number, since it is smaller than the sum of its proper divisors (64874412).

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

29055060 is a wasteful number, since it uses less digits than its factorization.

29055060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 29055060 is about 5390.2745755666. The cubic root of 29055060 is about 307.4259984527.

The spelling of 29055060 in words is "twenty-nine million, fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 127 155 164 180 186 205 246 254 279 310 369 372 381 410 465 492 508 558 615 620 635 738 762 820 930 1116 1143 1230 1270 1271 1395 1476 1524 1845 1860 1905 2286 2460 2540 2542 2790 3690 3810 3813 3937 4572 5084 5207 5580 5715 6355 7380 7620 7626 7874 10414 11430 11439 11811 12710 15252 15621 15748 19065 19685 20828 22860 22878 23622 25420 26035 31242 35433 38130 39370 45756 46863 47244 52070 57195 59055 62484 70866 76260 78105 78740 93726 104140 114390 118110 141732 156210 161417 177165 187452 228780 234315 236220 312420 322834 354330 468630 484251 645668 708660 807085 937260 968502 1452753 1614170 1937004 2421255 2905506 3228340 4842510 5811012 7263765 9685020 14527530 29055060