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29073330 = 23451113251
BaseRepresentation
bin110111011100…
…1111110110010
32000201002010000
41232321332302
524420321310
62515050430
7502055616
oct156717662
960632100
1029073330
1115458250
1298a0a16
13603c270
143c0b346
1528444c0
hex1bb9fb2

29073330 has 160 divisors (see below), whose sum is σ = 92207808. Its totient is φ = 6480000.

The previous prime is 29073329. The next prime is 29073337. The reversal of 29073330 is 3337092.

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

It is a junction number, because it is equal to n+sod(n) for n = 29073294 and 29073303.

It is not an unprimeable number, because it can be changed into a prime (29073337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115705 + ... + 115955.

Almost surely, 229073330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29073330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46103904).

29073330 is an abundant number, since it is smaller than the sum of its proper divisors (63134478).

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

29073330 is a wasteful number, since it uses less digits than its factorization.

29073330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 29073330 is about 5391.9690281010. The cubic root of 29073330 is about 307.4904220693.

It can be divided in two parts, 29073 and 330, that added together give a triangular number (29403 = T242).

The spelling of 29073330 in words is "twenty-nine million, seventy-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 81 90 99 110 117 130 135 143 162 165 195 198 234 251 270 286 297 330 351 390 405 429 495 502 585 594 702 715 753 810 858 891 990 1053 1170 1255 1287 1430 1485 1506 1755 1782 2106 2145 2259 2510 2574 2761 2970 3263 3510 3765 3861 4290 4455 4518 5265 5522 6435 6526 6777 7530 7722 8283 8910 9789 10530 11295 11583 12870 13554 13805 16315 16566 19305 19578 20331 22590 23166 24849 27610 29367 32630 33885 35893 38610 40662 41415 48945 49698 57915 58734 67770 71786 74547 82830 88101 97890 101655 107679 115830 124245 146835 149094 176202 179465 203310 215358 223641 248490 264303 293670 323037 358930 372735 440505 447282 528606 538395 646074 745470 881010 969111 1076790 1118205 1321515 1615185 1938222 2236410 2643030 2907333 3230370 4845555 5814666 9691110 14536665 29073330