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29097068 = 2271113343
BaseRepresentation
bin110111011111…
…1110001101100
32000202021200012
41232333301230
524422101233
62515352352
7502215050
oct156776154
960667605
1029097068
1115474070
1298b26b8
13604a000
143c15c60
15284b548
hex1bbfc6c

29097068 has 96 divisors (see below), whose sum is σ = 70371840. Its totient is φ = 10221120.

The previous prime is 29097067. The next prime is 29097073. The reversal of 29097068 is 86079092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29097067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 676655 + ... + 676697.

It is an arithmetic number, because the mean of its divisors is an integer number (733040).

Almost surely, 229097068 is an apocalyptic number.

29097068 is a gapful number since it is divisible by the number (28) 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 29097068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35185920).

29097068 is an abundant number, since it is smaller than the sum of its proper divisors (41274772).

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

29097068 is a wasteful number, since it uses less digits than its factorization.

29097068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 29097068 is about 5394.1698156436. The cubic root of 29097068 is about 307.5740866280.

The spelling of 29097068 in words is "twenty-nine million, ninety-seven thousand, sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 143 154 169 172 182 286 301 308 338 364 473 559 572 602 676 946 1001 1118 1183 1204 1859 1892 2002 2197 2236 2366 3311 3718 3913 4004 4394 4732 6149 6622 7267 7436 7826 8788 12298 13013 13244 14534 15379 15652 24167 24596 26026 29068 30758 43043 48334 50869 52052 61516 79937 86086 94471 96668 101738 159874 169169 172172 188942 203476 319748 338338 377884 559559 661297 676676 1039181 1119118 1322594 2078362 2238236 2645188 4156724 7274267 14548534 29097068