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20673984 = 263294779
BaseRepresentation
bin100111011011…
…1010111000000
31102220100101010
41032313113000
520243031414
62015040520
7340504002
oct116672700
942810333
1020673984
1110740741
126b10140
13438b136
142a62372
151c35959
hex13b75c0

20673984 has 112 divisors (see below), whose sum is σ = 58521600. Its totient is φ = 6429696.

The previous prime is 20673977. The next prime is 20673997. The reversal of 20673984 is 48937602.

It is a super-2 number, since 2×206739842 = 854827228864512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 261657 + ... + 261735.

Almost surely, 220673984 is an apocalyptic number.

20673984 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 20673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260800).

20673984 is an abundant number, since it is smaller than the sum of its proper divisors (37847616).

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

20673984 is a wasteful number, since it uses less digits than its factorization.

20673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 20673984 is about 4546.8652938041. The cubic root of 20673984 is about 274.4572612383.

The spelling of 20673984 in words is "twenty million, six hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 79 87 94 96 116 141 158 174 188 192 232 237 282 316 348 376 464 474 564 632 696 752 928 948 1128 1264 1363 1392 1504 1856 1896 2256 2291 2528 2726 2784 3008 3713 3792 4089 4512 4582 5056 5452 5568 6873 7426 7584 8178 9024 9164 10904 11139 13746 14852 15168 16356 18328 21808 22278 27492 29704 32712 36656 43616 44556 54984 59408 65424 73312 87232 89112 107677 109968 118816 130848 146624 178224 215354 219936 237632 261696 323031 356448 430708 439872 646062 712896 861416 1292124 1722832 2584248 3445664 5168496 6891328 10336992 20673984