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29743980 = 22357267151
BaseRepresentation
bin111000101110…
…1101101101100
32001222011001220
41301131231230
530103301410
62541303340
7510551100
oct161355554
961864056
1029743980
1115876102
129b64b50
1362155b6
143d43900
152928070
hex1c5db6c

29743980 has 144 divisors (see below), whose sum is σ = 98977536. Its totient is φ = 6652800.

The previous prime is 29743969. The next prime is 29743993. The reversal of 29743980 is 8934792.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196905 + ... + 197055.

It is an arithmetic number, because the mean of its divisors is an integer number (687344).

Almost surely, 229743980 is an apocalyptic number.

29743980 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 29743980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49488768).

29743980 is an abundant number, since it is smaller than the sum of its proper divisors (69233556).

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

29743980 is a wasteful number, since it uses less digits than its factorization.

29743980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 29743980 is about 5453.8041769026. The cubic root of 29743980 is about 309.8368201200.

The spelling of 29743980 in words is "twenty-nine million, seven hundred forty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 84 98 105 134 140 147 151 196 201 210 245 268 294 302 335 402 420 453 469 490 588 604 670 735 755 804 906 938 980 1005 1057 1340 1407 1470 1510 1812 1876 2010 2114 2265 2345 2814 2940 3020 3171 3283 4020 4228 4530 4690 5285 5628 6342 6566 7035 7399 9060 9380 9849 10117 10570 12684 13132 14070 14798 15855 16415 19698 20234 21140 22197 28140 29596 30351 31710 32830 36995 39396 40468 44394 49245 50585 60702 63420 65660 70819 73990 88788 98490 101170 110985 121404 141638 147980 151755 196980 202340 212457 221970 283276 303510 354095 424914 443940 495733 607020 708190 849828 991466 1062285 1416380 1487199 1982932 2124570 2478665 2974398 4249140 4957330 5948796 7435995 9914660 14871990 29743980