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29349060 = 223513191197
BaseRepresentation
bin110111111110…
…1010011000100
32001020002100020
41233331103010
530003132220
62525015140
7504314526
oct157752304
961202306
1029349060
1115626424
1299b44b0
136107910
143c7da16
15289b040
hex1bfd4c4

29349060 has 96 divisors (see below), whose sum is σ = 89413632. Its totient is φ = 7150080.

The previous prime is 29349043. The next prime is 29349077. The reversal of 29349060 is 6094392.

It is an interprime number because it is at equal distance from previous prime (29349043) and next prime (29349077).

It is a super-2 number, since 2×293490602 = 1722734645767200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148882 + ... + 149078.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 229349060 is an apocalyptic number.

29349060 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 29349060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44706816).

29349060 is an abundant number, since it is smaller than the sum of its proper divisors (60064572).

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

29349060 is a wasteful number, since it uses less digits than its factorization.

29349060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 29349060 is about 5417.4772726796. The cubic root of 29349060 is about 308.4594396913.

The spelling of 29349060 in words is "twenty-nine million, three hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 191 195 197 260 382 390 394 573 591 764 780 788 955 985 1146 1182 1910 1970 2292 2364 2483 2561 2865 2955 3820 3940 4966 5122 5730 5910 7449 7683 9932 10244 11460 11820 12415 12805 14898 15366 24830 25610 29796 30732 37245 37627 38415 49660 51220 74490 75254 76830 112881 148980 150508 153660 188135 225762 376270 451524 489151 564405 752540 978302 1128810 1467453 1956604 2257620 2445755 2934906 4891510 5869812 7337265 9783020 14674530 29349060