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29128704 = 211311431
BaseRepresentation
bin110111100011…
…1100000000000
32000210220001220
41233013200000
524424104304
62520155040
7502406223
oct157074000
960726056
1029128704
1115495910
129908a80
13605b527
143c235ba
152855ad9
hex1bc7800

29128704 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 8806400.

The previous prime is 29128699. The next prime is 29128711. The reversal of 29128704 is 40782192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67369 + ... + 67799.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 229128704 is an apocalyptic number.

29128704 is a gapful number since it is divisible by the number (24) 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 29128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

29128704 is an abundant number, since it is smaller than the sum of its proper divisors (55785216).

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

29128704 is a wasteful number, since it uses less digits than its factorization.

29128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 29128704 is about 5397.1014442940. The cubic root of 29128704 is about 307.6855169783.

The spelling of 29128704 in words is "twenty-nine million, one hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 431 512 528 704 768 862 1024 1056 1293 1408 1536 1724 2048 2112 2586 2816 3072 3448 4224 4741 5172 5632 6144 6896 8448 9482 10344 11264 13792 14223 16896 18964 20688 22528 27584 28446 33792 37928 41376 55168 56892 67584 75856 82752 110336 113784 151712 165504 220672 227568 303424 331008 441344 455136 606848 662016 882688 910272 1213696 1324032 1820544 2427392 2648064 3641088 4854784 7282176 9709568 14564352 29128704