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29112132 = 22374179107
BaseRepresentation
bin110111100001…
…1011101000100
32000210001100010
41233003131010
524423042012
62515550220
7502310010
oct157033504
960701303
1029112132
1115484415
1298bb370
136053b1a
143c1b540
152850c3c
hex1bc3744

29112132 has 96 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 7937280.

The previous prime is 29112121. The next prime is 29112133. The reversal of 29112132 is 23121192.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 29112099 and 29112108.

It is not an unprimeable number, because it can be changed into a prime (29112133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272023 + ... + 272129.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 229112132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

29112132 is an abundant number, since it is smaller than the sum of its proper divisors (52172988).

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

29112132 is a wasteful number, since it uses less digits than its factorization.

29112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 29112132 is about 5395.5659573394. The cubic root of 29112132 is about 307.6271560838.

The spelling of 29112132 in words is "twenty-nine million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 79 82 84 107 123 158 164 214 237 246 287 316 321 428 474 492 553 574 642 749 861 948 1106 1148 1284 1498 1659 1722 2212 2247 2996 3239 3318 3444 4387 4494 6478 6636 8453 8774 8988 9717 12956 13161 16906 17548 19434 22673 25359 26322 30709 33812 38868 45346 50718 52644 59171 61418 68019 90692 92127 101436 118342 122836 136038 177513 184254 236684 272076 346573 355026 368508 693146 710052 1039719 1386292 2079438 2426011 4158876 4852022 7278033 9704044 14556066 29112132