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29080890 = 2335374171
BaseRepresentation
bin110111011101…
…1110100111010
32000201110111000
41232323310322
524421042030
62515145430
7502116636
oct156736472
960643430
1029080890
11154629a3
1298a5276
136042837
143c0ddc6
152846860
hex1bbbd3a

29080890 has 128 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 7257600.

The previous prime is 29080867. The next prime is 29080907. The reversal of 29080890 is 9808092.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 409555 + ... + 409625.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 229080890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29080890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

29080890 is an abundant number, since it is smaller than the sum of its proper divisors (53655750).

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

29080890 is a wasteful number, since it uses less digits than its factorization.

29080890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 29080890 is about 5392.6700251360. The cubic root of 29080890 is about 307.5170722229.

The spelling of 29080890 in words is "twenty-nine million, eighty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 41 45 54 71 74 82 90 111 123 135 142 185 205 213 222 246 270 333 355 369 370 410 426 555 615 639 666 710 738 999 1065 1107 1110 1230 1278 1517 1665 1845 1917 1998 2130 2214 2627 2911 3034 3195 3330 3690 3834 4551 4995 5254 5535 5822 6390 7585 7881 8733 9102 9585 9990 11070 13135 13653 14555 15170 15762 17466 19170 22755 23643 26199 26270 27306 29110 39405 40959 43665 45510 47286 52398 68265 70929 78597 78810 81918 87330 107707 118215 130995 136530 141858 157194 204795 215414 236430 261990 323121 354645 392985 409590 538535 646242 709290 785970 969363 1077070 1615605 1938726 2908089 3231210 4846815 5816178 9693630 14540445 29080890