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29795920 = 2457211691
BaseRepresentation
bin111000110101…
…0011001010000
32002001210022121
41301222121100
530111432140
62542344024
7511155400
oct161523120
962053277
1029795920
1115901130
129b8b014
13623312b
143d58800
15293864a
hex1c6a650

29795920 has 120 divisors (see below), whose sum is σ = 88039008. Its totient is φ = 9273600.

The previous prime is 29795893. The next prime is 29795939. The reversal of 29795920 is 2959792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42775 + ... + 43465.

Almost surely, 229795920 is an apocalyptic number.

29795920 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 29795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44019504).

29795920 is an abundant number, since it is smaller than the sum of its proper divisors (58243088).

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

29795920 is a wasteful number, since it uses less digits than its factorization.

29795920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 29795920 is about 5458.5639137048. The cubic root of 29795920 is about 310.0170646173.

The spelling of 29795920 in words is "twenty-nine million, seven hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 691 770 784 880 980 1078 1232 1382 1540 1960 2156 2695 2764 3080 3455 3920 4312 4837 5390 5528 6160 6910 7601 8624 9674 10780 11056 13820 15202 19348 21560 24185 27640 30404 33859 38005 38696 43120 48370 53207 55280 60808 67718 76010 77392 96740 106414 121616 135436 152020 169295 193480 212828 266035 270872 304040 338590 372449 386960 425656 532070 541744 608080 677180 744898 851312 1064140 1354360 1489796 1862245 2128280 2708720 2979592 3724490 4256560 5959184 7448980 14897960 29795920