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20416704 = 2637111381
BaseRepresentation
bin100110111100…
…0100011000000
31102102021110020
41031320203000
520211313304
62005333440
7335352630
oct115704300
942367406
1020416704
1110585410
126a07280
1342cacb9
1429d66c0
151bd45d9
hex13788c0

20416704 has 112 divisors (see below), whose sum is σ = 67397376. Its totient is φ = 5299200.

The previous prime is 20416703. The next prime is 20416717. The reversal of 20416704 is 40761402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20416703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14094 + ... + 15474.

Almost surely, 220416704 is an apocalyptic number.

20416704 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 20416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33698688).

20416704 is an abundant number, since it is smaller than the sum of its proper divisors (46980672).

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

20416704 is a wasteful number, since it uses less digits than its factorization.

20416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20416704 is about 4518.4847017557. The cubic root of 20416704 is about 273.3139995579.

The spelling of 20416704 in words is "twenty million, four hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1381 1848 2112 2464 2762 3696 4143 4928 5524 7392 8286 9667 11048 14784 15191 16572 19334 22096 29001 30382 33144 38668 44192 45573 58002 60764 66288 77336 88384 91146 106337 116004 121528 132576 154672 182292 212674 232008 243056 265152 309344 319011 364584 425348 464016 486112 618688 638022 729168 850696 928032 972224 1276044 1458336 1701392 1856064 2552088 2916672 3402784 5104176 6805568 10208352 20416704