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29187990 = 232513219101
BaseRepresentation
bin110111101010…
…1111110010110
32000220220101200
41233111332112
524433003430
62521333330
7503044116
oct157257626
960826350
1029187990
1115526407
129937246
13607c500
143c3b046
152868460
hex1bd5f96

29187990 has 144 divisors (see below), whose sum is σ = 87356880. Its totient is φ = 6739200.

The previous prime is 29187973. The next prime is 29188021. The reversal of 29187990 is 9978192.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 288940 + ... + 289040.

It is an arithmetic number, because the mean of its divisors is an integer number (606645).

Almost surely, 229187990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29187990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43678440).

29187990 is an abundant number, since it is smaller than the sum of its proper divisors (58168890).

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

29187990 is a wasteful number, since it uses less digits than its factorization.

29187990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 29187990 is about 5402.5910450450. The cubic root of 29187990 is about 307.8941208565.

The spelling of 29187990 in words is "twenty-nine million, one hundred eighty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 101 114 117 130 169 171 190 195 202 234 247 285 303 338 342 390 494 505 507 570 585 606 741 845 855 909 1010 1014 1170 1235 1313 1482 1515 1521 1690 1710 1818 1919 2223 2470 2535 2626 3030 3042 3211 3705 3838 3939 4446 4545 5070 5757 6422 6565 7410 7605 7878 9090 9595 9633 11115 11514 11817 13130 15210 16055 17069 17271 19190 19266 19695 22230 23634 24947 28785 28899 32110 34138 34542 39390 48165 49894 51207 57570 57798 59085 74841 85345 86355 96330 102414 118170 124735 144495 149682 153621 170690 172710 224523 249470 256035 288990 307242 324311 374205 449046 512070 648622 748410 768105 972933 1122615 1536210 1621555 1945866 2245230 2918799 3243110 4864665 5837598 9729330 14593995 29187990