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23668029 = 3273111741
BaseRepresentation
bin101101001001…
…0010100111101
31122112110102200
41122102110331
522024334104
62203142113
7405114000
oct132222475
948473380
1023668029
11123a6160
127b14939
134b98b68
143201537
152127b39
hex169253d

23668029 has 96 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 11289600.

The previous prime is 23668019. The next prime is 23668067. The reversal of 23668029 is 92086632.

It is not a de Polignac number, because 23668029 - 25 = 23667997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23667984 and 23668002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23668019) 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 95 ways as a sum of consecutive naturals, for example, 577249 + ... + 577289.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 223668029 is an apocalyptic number.

It is an amenable number.

23668029 is a deficient number, since it is larger than the sum of its proper divisors (23506371).

23668029 is a wasteful number, since it uses less digits than its factorization.

23668029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 23668029 is about 4864.9798560734. The cubic root of 23668029 is about 287.1137760278.

It can be divided in two parts, 236 and 68029, that added together give a triangular number (68265 = T369).

The spelling of 23668029 in words is "twenty-three million, six hundred sixty-eight thousand, twenty-nine".

Divisors: 1 3 7 9 11 17 21 33 41 49 51 63 77 99 119 123 147 153 187 231 287 343 357 369 441 451 539 561 693 697 833 861 1029 1071 1309 1353 1617 1683 2009 2091 2499 2583 3087 3157 3773 3927 4059 4851 4879 5831 6027 6273 7497 7667 9163 9471 11319 11781 14063 14637 17493 18081 22099 23001 27489 28413 33957 34153 42189 43911 52479 53669 64141 66297 69003 82467 102459 126567 154693 161007 192423 198891 239071 307377 375683 464079 483021 577269 717213 1127049 1392237 2151639 2629781 3381147 7889343 23668029