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20666832 = 24317193143
BaseRepresentation
bin100111011010…
…1100111010000
31102212222120020
41032311213100
520242314312
62014543440
7340444104
oct116654720
942788506
1020666832
111073632a
126b07b80
134387ac4
142a5d904
151c3378c
hex13b59d0

20666832 has 160 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 5806080.

The previous prime is 20666827. The next prime is 20666839. The reversal of 20666832 is 23866602.

It is a junction number, because it is equal to n+sod(n) for n = 20666793 and 20666802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20666839) 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, 480603 + ... + 480645.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 220666832 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 20666832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

20666832 is an abundant number, since it is smaller than the sum of its proper divisors (42186288).

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

20666832 is a wasteful number, since it uses less digits than its factorization.

20666832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 20666832 is about 4546.0787498678. The cubic root of 20666832 is about 274.4256088207.

The spelling of 20666832 in words is "twenty million, six hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 31 34 38 43 48 51 57 62 68 76 86 93 102 114 124 129 136 152 172 186 204 228 248 258 272 304 323 344 372 408 456 496 516 527 589 646 688 731 744 816 817 912 969 1032 1054 1178 1292 1333 1462 1488 1581 1634 1767 1938 2064 2108 2193 2356 2451 2584 2666 2924 3162 3268 3534 3876 3999 4216 4386 4712 4902 5168 5332 5848 6324 6536 7068 7752 7998 8432 8772 9424 9804 10013 10664 11696 12648 13072 13889 14136 15504 15996 17544 19608 20026 21328 22661 25296 25327 27778 28272 30039 31992 35088 39216 40052 41667 45322 50654 55556 60078 63984 67983 75981 80104 83334 90644 101308 111112 120156 135966 151962 160208 166668 181288 202616 222224 240312 271932 303924 333336 362576 405232 430559 480624 543864 607848 666672 861118 1087728 1215696 1291677 1722236 2583354 3444472 5166708 6888944 10333416 20666832