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29168670 = 23547137151
BaseRepresentation
bin110111101000…
…1010000011110
32000212220220010
41233101100132
524431344140
62521104050
7502633566
oct157212036
960786803
1029168670
1115512943
129928026
13607378b
143c33da6
152862880
hex1bd141e

29168670 has 64 divisors (see below), whose sum is σ = 72493056. Its totient is φ = 7507200.

The previous prime is 29168641. The next prime is 29168677. The reversal of 29168670 is 7686192.

It is a super-2 number, since 2×291686702 = 1701622619137800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29168677) 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, 193095 + ... + 193245.

It is an arithmetic number, because the mean of its divisors is an integer number (1132704).

Almost surely, 229168670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29168670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36246528).

29168670 is an abundant number, since it is smaller than the sum of its proper divisors (43324386).

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

29168670 is a wasteful number, since it uses less digits than its factorization.

29168670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 29168670 is about 5400.8027181152. The cubic root of 29168670 is about 307.8261725054.

The spelling of 29168670 in words is "twenty-nine million, one hundred sixty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 137 141 151 235 274 282 302 411 453 470 685 705 755 822 906 1370 1410 1510 2055 2265 4110 4530 6439 7097 12878 14194 19317 20687 21291 32195 35485 38634 41374 42582 62061 64390 70970 96585 103435 106455 124122 193170 206870 212910 310305 620610 972289 1944578 2916867 4861445 5833734 9722890 14584335 29168670