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29455140 = 223511133433
BaseRepresentation
bin111000001011…
…1001100100100
32001102110212010
41300113030210
530020031030
62531154220
7505236021
oct160271444
961373763
1029455140
11156990a0
129a45970
136143ca0
143caa548
1528bc6b0
hex1c17324

29455140 has 96 divisors (see below), whose sum is σ = 96921216. Its totient is φ = 6589440.

The previous prime is 29455133. The next prime is 29455141. The reversal of 29455140 is 4155492.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29455098 and 29455107.

It is not an unprimeable number, because it can be changed into a prime (29455141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6864 + ... + 10296.

It is an arithmetic number, because the mean of its divisors is an integer number (1009596).

Almost surely, 229455140 is an apocalyptic number.

29455140 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 29455140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48460608).

29455140 is an abundant number, since it is smaller than the sum of its proper divisors (67466076).

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

29455140 is a wasteful number, since it uses less digits than its factorization.

29455140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 29455140 is about 5427.2589766843. The cubic root of 29455140 is about 308.8306274266.

The spelling of 29455140 in words is "twenty-nine million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 3433 4290 6866 8580 10299 13732 17165 20598 34330 37763 41196 44629 51495 68660 75526 89258 102990 113289 133887 151052 178516 188815 205980 223145 226578 267774 377630 446290 453156 490919 535548 566445 669435 755260 892580 981838 1132890 1338870 1472757 1963676 2265780 2454595 2677740 2945514 4909190 5891028 7363785 9818380 14727570 29455140